John, Billy and Fred went shopping. John and Billy spent a total of $230. John and Fred spent $646 altogether. Fred spent 3 times as much as Billy.
- How much did Billy spend?
- How much did John spend?
(a)
Amount that John spent = J
Amount that Billy spent = B
Amount that Fred spent = F
J + F = 646
J + B = 230
B = 1 u
F = 3 x 1 u = 3 u
Amount that Fred spent more than Billy
= 3 u - 1 u
= 2 u
2 u = 646 - 230
2 u = 416
1 u = 416 ÷ 2 = 208
Amount that Billy spent
= 1 u
= $208
(b)
Amount that John spent
= 230 - 208
= $22
Answer(s): (a) $208; (b) $22