Showing posts with label Ratios and Proportions. Show all posts
Showing posts with label Ratios and Proportions. Show all posts

Math New Drill (Level 1) : Ratios and proportions 10% discounted list price

I set the list price with 15 % profit on the cost price of a certain article. 

But it did not be sold. 

Then I decided to sell at 2070 yen which is 10 % discount of the list price. 

Find the cost price.


Math New Drill (Level 1) : Ratios and proportions Pocket money savings

Taro gets a same amount of pocket money every month and also has some savings. 

If he spends 2000 yen every month, the balance of savings come to be zero in six months. 

Moreover, if he spends 1600 yen every month, the balance of savings come to be zero in nine months. 

Answer the following questions. 

(1) Find the amount of the pocket money every month. 
    
(2) Find the amount of savings at the beginning. 

(3) In order for Taro to have the amount of savings 12000 yen in one year, find the amount of the pocket money which can be spent every month.


Math New Drill (Level 1) : Ratios and proportions Problem 5 TOYOEIWA-2008

There are in total 400 balls of 4 colors of red, yellow, blue and green.
We threw balls to a box.

The number of balls which were not in the box was 100 or less pieces.
Among the balls in a box, 1/4 was red, 1/6 was yellow and 3/7 was green.
Find the number of green balls in the box.


New Problem (Level 1) : Ratios and proportions Problem 4 TOYOEIWA-2008

The ratio of the number of candies which three persons, Taro, Jiro, and Hanako had was 5 : 4 : 2. 

Jiro got 14 candies from Taro and ate four. 

After that, Jiro gave the half of candies he had to Hanako. 

Then the number of candies which Taro and Hanako had became equal. 

Find the number of candies Taro had first.




Math New Drill (Level 2) : Ratios and Proportions Problem5 NAKANO ATTACHED TO MEIJI UNV.-2014

Cows are pastured at some grassland. 

When 6 cows are pastured, grasses are eaten up in 30 days. 

When 10 cows are pastured, grasses are eaten up in 12 days. 

At this time, answer the next questions. 

Noted that grasses grow at a fixed rate every day in this grassland. 

In addition the amount of the grass each cow eats per day is same. 

(1) Find the number of cow to be pastured without the grass of the grassland being eaten up. 

(2) How many cows at least should be pastured in order to eat all the grass of the grassland within six days?



Math New Drill (Level 1) : Ratios and Proportions Problem2(6) NAKANO ATTACHED TO MEIJI UNV.-2014

A salt solution of 400g is in each container A, B, and C and density in A, B , and C is 16%, 8%, and 4% respectively. 

When total of 100g salt solution was taken out of container A and B and it added to container C, the density of container C became 5%. 

Find the weight of the salt solution taken out of container A.


Math New Drill (Level 1) : Ratios and Proportions Problem2(2) NAKANO ATTACHED TO MEIJI UNV.-2014

The number of students of girls in a certain junior high school is 95% of the number of students of boys.

The number of absentees on a certain day were four and all of them were girls. 

The ratio of the number of girls' attendant in this day became 11/12 of the boy. 

Find the number of all students of this junior high school.


Math New Drill (Level 1) : Ratios and Proportions Problem2(1) NAKANO ATTACHED TO MEIJI UNV.-2014

In a certain shop, it stocked 90 pieces of cup at 7200 yen. 

They sold at the list price of 150 yen per one piece, but some remained unsold. 

The profit was 3000 yen. 

Find the number of the cut remained unsold.


Math New Drill (Level 1) : Ratios and proportions Problem 6 OTSUMA-2014

The salt melt up to 38g in 100g of hot water of 80 degrees Celsius. 

Answer the following questions. 

(1) The salt 19g was put in 30g of hot water of 80℃ and it is mixed well. 

Find the weight of the salt that remains without melting. 

(2) The hot water of 80℃ is continuously added while mixing well. 

How many grams of hot water was added when all salt melts? 

Moreover, find the concentration of the salt solution. 

Noted that the concentration should be rounded off the 2nd decimal place and should be found the 1st decimal place.  


Math New Drill (Level 2) : Ratios and Proportions Problem 4 TOHO-2014

Some pieces of apple and pear were sold respectively at a fruit parlor. 

On Day 1, 50% of the number of the whole apple, 40% of the number of the whole pear sold. 

On Day 2, remaining apples and pears were sold. 

All pears were sold. 

As for the apple, only the same number was sold as pear sold on Day 1 and 42 remained. 

As for the total number of apple and pear sold on Day 2, 18 decreased from the total number of two fruits sold on Day 1. 

Find the each number of apple and pear in this parlor first.











New Math Drill ( Level 1) : Ratios and Proportions Problem 2(1) TOHO-2014

Length of both side of a square is made 1 cm longer each and a new square is made. 

The area of new square is 19 cm2 bigger than the original square. 

Find the original square area.








New Math Drill : Level 1 : Ratios and Proportions Problem2(4) JISSENJOSHIGAKUEN-2014

Hanako has finished reading one book in four days. 
She read 92 pages on the first day and read 1/3 of the book on the second day. 
In addition, she read 1/7 of the book on the 3rd day and read 1/4 of the book on the 4th day. 
Find the total pages of this book.


New Math Drill : Level 1 : Ratios and Proportions Problem2(2) JISSENJOSHIGAKUEN-2014

I mix water and 32 g of salt to make 16% of salt solutions. 
Find the weight of water. 


Math New Drill : Level 1 : Ratios and Proportions Problem1(4) JOHOKUSAITAMA-2014

When a certain product is sold at a regular price, the profit is 45 yen per one piece.
The profit when selling 8 pieces at the price of 15 percent discount of the regular price and the profit when selling 12 pieces at the price of reducing 35 yen from the regular price are same.
Find the regular of this product.

Math New Drill : Level 1 : Ratios and Proportions Problem2(4) ATOMIGAKUEN-2014

Hanako is solving problems of Sansue workbook every day.
She finished solving 72% of the number of all problems today.
If she solves 4 more problems, she would finish 80 %.
How many problems are there in all?






Math New Drill : Level 1 : Ratios and Proportions Problem2(1) ATOMIGAKUEN-2014

The ratio of 3 integers is 2 : 3 : 4 and the least common multiple is 144.
Find the sum of these 3 integers.

Math New Drill : Level 1 : Ratios and proportions Problem3(2) KAMAKURAJOGAKUIN-2014

Mother's age is 5 times of the daughter's age now.
Four years later, mother's age becomes less 4 years less than 4 times of the daughter's age.
Find the the daughter's age now.
In addition, how many years later from now does the mother's age become 4 years less than 3 times of the daughter's age?

Math New Drill : Level 1 Ratio and Proportions Problem2(2) KAMAKURAJOGAKUIN-2014

When a consumption tax of 5% is added to the price of a certain goods, it'll be 2014 yen.
Noted that less than 1 yen of the amount of the consumption tax is cut off.
Find the price of this book.


Math New Drill : Level 1 Ratio and Proportions Problem2(1) KAMAKURAJOGAKUIN-2014

Taro began to read a certain book by 7 pages a day and Jiro began by 5 pages a day.
They started reading at the same time.
On the day when Taro finished reading, there still 114 pages were left for Jiro.
Find the pages of this book.

Math Problem : CC.10 Election of the president of student council

There was an election of the president of student council in a certain junior high school and three persons, Taro, Jiro, and Hanako, stood as a candidate.
A pie chart expresses the rate of the number of votes obtained by each person.
The ratio of the number of boys students and girls students of this junior high school 5 : 7.
The ratio of boys who cast their vote for Taro is 3/5 of the whole boy and 136 girls cast their vote for Taro.
Number of girls who cast their vote for Jiro was 14 more than that of girls who cast her vote for Hanako.
Answer the following questions.



(1) Indicate the rate of the number of votes obtained of Taro, Jiro, and Hanako by the least integer.

(2) Indicate the ratio of the number of boys and girls who cast their vote for Taro by the ratio of the least integer.

(3) Find the number of all students of this junior high school.

(4) Find the number of boys who cast their vote for Hanako.