Eric and Simon went shopping with a total amount of $275. They had $225 left after shopping. Eric's remaining money was 3 times the amount he paid for. Simon's remaining money was 6 times the amount he had spent.
- How much did Simon spend?
- How much did Simon bring along for shopping?
| |
Eric |
Simon |
Total |
| Before |
4 u |
7 p |
275 |
| Change |
- 1 u |
- 1 p |
- 50 |
| After |
3 u |
6 p |
225 |
(a)
Amount that Eric and Simon spent
= 275 - 225
= $50
Amount that Eric and Simon spent
= 1 u + 1 p
1 u + 1 p = 50
1 u = 50 - 1 p --- (1)
Amount that Eric and Simon had left
= 3 u + 6 p
3 u + 6 p = 225
3 u = 225 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 150 - 3 p --- (3)
(3) = (2)
150 - 3 p = 225 - 6 p
6 p - 3 p = 225 - 150
3 p = 75
1 p = 75 ÷ 3 = 25
Amount that Simon spent = $25
(b)
Amount that Simon brought along
= 7 p
= 7 x 25
= $175
Answer(s): (a) $25; (b) $175
