Jack, Ethan and Reggie went shopping. Jack and Ethan spent a total of $238. Jack and Reggie spent $658 altogether. Reggie spent 7 times as much as Ethan.
- How much did Ethan spend?
- How much did Jack spend?
(a)
Amount that Jack spent = J
Amount that Ethan spent = E
Amount that Reggie spent = R
J + R = 658
J + E = 238
E = 1 u
R = 7 x 1 u = 7 u
Amount that Reggie spent more than Ethan
= 7 u - 1 u
= 6 u
6 u = 658 - 238
6 u = 420
1 u = 420 ÷ 6 = 70
Amount that Ethan spent
= 1 u
= $70
(b)
Amount that Jack spent
= 238 - 70
= $168
Answer(s): (a) $70; (b) $168