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.



Answer
(1)  800 yen 
(2)  7200 yen  
(3)  400 yen

Solution
(1)
9 - 6 = 3 months pocket money

14400 - 12000 = 2400 yen

1 month pocket money = 2400 / 3 = 800 yen

(2) 
12000 - 800 × 6 = 7200 yen

(3)
12000 - 7200 = 4800 yen

4800 / 12 = 400 yen

800 - 400 = 400 yen