Ryan and Bryan went shopping with a total amount of $324. They had $270 left after shopping. Ryan's remaining money was 4 times the amount he paid for. Bryan's remaining money was 6 times the amount he had spent.
- How much did Bryan spend?
- How much did Bryan bring along for shopping?
| |
Ryan |
Bryan |
Total |
| Before |
5 u |
7 p |
324 |
| Change |
- 1 u |
- 1 p |
- 54 |
| After |
4 u |
6 p |
270 |
(a)
Amount that Ryan and Bryan spent
= 324 - 270
= $54
Amount that Ryan and Bryan spent
= 1 u + 1 p
1 u + 1 p = 54
1 u = 54 - 1 p --- (1)
Amount that Ryan and Bryan had left
= 4 u + 6 p
4 u + 6 p = 270
4 u = 270 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 216 - 4 p --- (3)
(3) = (2)
216 - 4 p = 270 - 6 p
6 p - 4 p = 270 - 216
2 p = 54
1 p = 54 ÷ 2 = 27
Amount that Bryan spent = $27
(b)
Amount that Bryan brought along
= 7 p
= 7 x 27
= $189
Answer(s): (a) $27; (b) $189
