Carl and Zane went shopping with a total amount of $418. They had $342 left after shopping. Carl's remaining money was 3 times the amount he paid for. Zane's remaining money was 6 times the amount he had spent.
- How much did Zane spend?
- How much did Zane bring along for shopping?
| |
Carl |
Zane |
Total |
| Before |
4 u |
7 p |
418 |
| Change |
- 1 u |
- 1 p |
- 76 |
| After |
3 u |
6 p |
342 |
(a)
Amount that Carl and Zane spent
= 418 - 342
= $76
Amount that Carl and Zane spent
= 1 u + 1 p
1 u + 1 p = 76
1 u = 76 - 1 p --- (1)
Amount that Carl and Zane had left
= 3 u + 6 p
3 u + 6 p = 342
3 u = 342 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 228 - 3 p --- (3)
(3) = (2)
228 - 3 p = 342 - 6 p
6 p - 3 p = 342 - 228
3 p = 114
1 p = 114 ÷ 3 = 38
Amount that Zane spent = $38
(b)
Amount that Zane brought along
= 7 p
= 7 x 38
= $266
Answer(s): (a) $38; (b) $266
