Ryan and Tommy went shopping with a total amount of $396. They had $330 left after shopping. Ryan's remaining money was 3 times the amount he paid for. Tommy's remaining money was 7 times the amount he had spent.
- How much did Tommy spend?
- How much did Tommy bring along for shopping?
| |
Ryan |
Tommy |
Total |
| Before |
4 u |
8 p |
396 |
| Change |
- 1 u |
- 1 p |
- 66 |
| After |
3 u |
7 p |
330 |
(a)
Amount that Ryan and Tommy spent
= 396 - 330
= $66
Amount that Ryan and Tommy spent
= 1 u + 1 p
1 u + 1 p = 66
1 u = 66 - 1 p --- (1)
Amount that Ryan and Tommy had left
= 3 u + 7 p
3 u + 7 p = 330
3 u = 330 - 7 p --- (2)
Make u the same.
(1)
x 3 3 u = 198 - 3 p --- (3)
(3) = (2)
198 - 3 p = 330 - 7 p
7 p - 3 p = 330 - 198
4 p = 132
1 p = 132 ÷ 4 = 33
Amount that Tommy spent = $33
(b)
Amount that Tommy brought along
= 8 p
= 8 x 33
= $264
Answer(s): (a) $33; (b) $264
