Eric, Luke and Riordan went shopping. Eric and Luke spent a total of $238. Eric and Riordan spent $690 altogether. Riordan spent 5 times as much as Luke.
- How much did Luke spend?
- How much did Eric spend?
(a)
Amount that Eric spent = E
Amount that Luke spent = L
Amount that Riordan spent = R
E + R = 690
E + L = 238
L = 1 u
R = 5 x 1 u = 5 u
Amount that Riordan spent more than Luke
= 5 u - 1 u
= 4 u
4 u = 690 - 238
4 u = 452
1 u = 452 ÷ 4 = 113
Amount that Luke spent
= 1 u
= $113
(b)
Amount that Eric spent
= 238 - 113
= $125
Answer(s): (a) $113; (b) $125