John, Ethan and Ben went shopping. John and Ethan spent a total of $217. John and Ben spent $677 altogether. Ben spent 5 times as much as Ethan.
- How much did Ethan spend?
- How much did John spend?
(a)
Amount that John spent = J
Amount that Ethan spent = E
Amount that Ben spent = B
J + B = 677
J + E = 217
E = 1 u
B = 5 x 1 u = 5 u
Amount that Ben spent more than Ethan
= 5 u - 1 u
= 4 u
4 u = 677 - 217
4 u = 460
1 u = 460 ÷ 4 = 115
Amount that Ethan spent
= 1 u
= $115
(b)
Amount that John spent
= 217 - 115
= $102
Answer(s): (a) $115; (b) $102