Math New Drill : Level1 : Sum and Difference Problem2(3) ATOMIGAKUEN-2014

It's 770 yen for 3 apples and 2 peaches.
It's 1950 yen for 5 apples and 6 peaches.
How much is it for 1 apple and 1 peach?


Answer
340 yen

Solution
As it's 770 yen for 3 apples and 2 peaches, it's 2310 yen for 9 apples and 6 peaches.

Then the difference of the price of 9 apples + 6 peaches and 5 apples + 6 peaches = 2310 - 1950 = 360 yen which is the price of 9 - 5 = 4 apples.
Thus 1 apple = 360 / 4 = 90 yen.
1 peach = (770 - 90 × 3) / 2 = 250 yen.
Therefore 1 apple + 1 peach = 90 + 250 = 340 yen.