Archie and Mark went shopping with a total amount of $352. They had $288 left after shopping. Archie's remaining money was 3 times the amount he paid for. Mark's remaining money was 6 times the amount he had spent.
- How much did Mark spend?
- How much did Mark bring along for shopping?
|
Archie |
Mark |
Total |
Before |
4 u |
7 p |
352 |
Change |
- 1 u |
- 1 p |
- 64 |
After |
3 u |
6 p |
288 |
(a)
Amount that Archie and Mark spent
= 352 - 288
= $64
Amount that Archie and Mark spent
= 1 u + 1 p
1 u + 1 p = 64
1 u = 64 - 1 p --- (1)
Amount that Archie and Mark had left
= 3 u + 6 p
3 u + 6 p = 288
3 u = 288 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 192 - 3 p --- (3)
(3) = (2)
192 - 3 p = 288 - 6 p
6 p - 3 p = 288 - 192
3 p = 96
1 p = 96 ÷ 3 = 32
Amount that Mark spent = $32
(b)
Amount that Mark brought along
= 7 p
= 7 x 32
= $224
Answer(s): (a) $32; (b) $224