Three brothers spent a total of $75. Gillian spent $12 more than Penelope and Rachel spent $12 more than Gillian.
- How much money did Penelope spend?
- How much money did Rachel spend?
(a)
Amount that Penelope spent = 1 u
Amount that Gillian spent = 1 u + 12
Amount that Rachel spent = 1 u + 12 + 12 = 1 u + 24
Total amount that they spent
= 1 u + 1 u + 12 + 1 u + 24
= 3 u + 36
3 u + 36 = 75
3 u = 75 - 36
3 u = 39
1 u = 39 ÷ 3 = $13
Amount that Penelope spent
= 1 u
= 13
(b)
Amount that Rachel spent
= 1 u + 24
= 13 + 24
= $37
Answer(s): (a) $13; (b) $37