John, Bryan and Harry went shopping. John and Bryan spent a total of $278. John and Harry spent $678 altogether. Harry spent 9 times as much as Bryan.
- How much did Bryan spend?
- How much did John spend?
(a)
Amount that John spent = J
Amount that Bryan spent = B
Amount that Harry spent = H
J + H = 678
J + B = 278
B = 1 u
H = 9 x 1 u = 9 u
Amount that Harry spent more than Bryan
= 9 u - 1 u
= 8 u
8 u = 678 - 278
8 u = 400
1 u = 400 ÷ 8 = 50
Amount that Bryan spent
= 1 u
= $50
(b)
Amount that John spent
= 278 - 50
= $228
Answer(s): (a) $50; (b) $228