Valen and Harry went shopping with a total amount of $228. They had $190 left after shopping. Valen's remaining money was 3 times the amount he paid for. Harry's remaining money was 7 times the amount he had spent.
- How much did Harry spend?
- How much did Harry bring along for shopping?
| |
Valen |
Harry |
Total |
| Before |
4 u |
8 p |
228 |
| Change |
- 1 u |
- 1 p |
- 38 |
| After |
3 u |
7 p |
190 |
(a)
Amount that Valen and Harry spent
= 228 - 190
= $38
Amount that Valen and Harry spent
= 1 u + 1 p
1 u + 1 p = 38
1 u = 38 - 1 p --- (1)
Amount that Valen and Harry had left
= 3 u + 7 p
3 u + 7 p = 190
3 u = 190 - 7 p --- (2)
Make u the same.
(1)
x 3 3 u = 114 - 3 p --- (3)
(3) = (2)
114 - 3 p = 190 - 7 p
7 p - 3 p = 190 - 114
4 p = 76
1 p = 76 ÷ 4 = 19
Amount that Harry spent = $19
(b)
Amount that Harry brought along
= 8 p
= 8 x 19
= $152
Answer(s): (a) $19; (b) $152
