Howard and Zeph went shopping with a total amount of $280. They had $224 left after shopping. Howard's remaining money was 3 times the amount he paid for. Zeph's remaining money was 5 times the amount he had spent.
- How much did Zeph spend?
- How much did Zeph bring along for shopping?
| |
Howard |
Zeph |
Total |
| Before |
4 u |
6 p |
280 |
| Change |
- 1 u |
- 1 p |
- 56 |
| After |
3 u |
5 p |
224 |
(a)
Amount that Howard and Zeph spent
= 280 - 224
= $56
Amount that Howard and Zeph spent
= 1 u + 1 p
1 u + 1 p = 56
1 u = 56 - 1 p --- (1)
Amount that Howard and Zeph had left
= 3 u + 5 p
3 u + 5 p = 224
3 u = 224 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 168 - 3 p --- (3)
(3) = (2)
168 - 3 p = 224 - 5 p
5 p - 3 p = 224 - 168
2 p = 56
1 p = 56 ÷ 2 = 28
Amount that Zeph spent = $28
(b)
Amount that Zeph brought along
= 6 p
= 6 x 28
= $168
Answer(s): (a) $28; (b) $168
