Johnson had some apples and oranges. The number of apples and oranges left were the same after Johnson sold 2/3 of the apples and 4/7 of the oranges. If he had 324 apples at first

(a) How many apples were left?
(b) How many oranges did Johnson have at first?

1 answer

sold apples: 2/3
sold oranges: 4/7
apples at first: 324
(a) sold + left = 324
2/3 (324) + left = 324
apples left = 324 - 2/3 (324)
= 324 - 216
apples left = 108
(b) sold + left = x
4/7x + 108 = x
7 (108) = (x - 4/7x) 7
756 = 7x - 4x
756/3 = 3x/3
252 = x
The number of oranges at first is 252.