Tim and Ahmad went shopping with a total amount of $221. They had $187 left after shopping. Tim's remaining money was 4 times the amount he paid for. Ahmad's remaining money was 7 times the amount he had spent.
- How much did Ahmad spend?
- How much did Ahmad bring along for shopping?
| |
Tim |
Ahmad |
Total |
| Before |
5 u |
8 p |
221 |
| Change |
- 1 u |
- 1 p |
- 34 |
| After |
4 u |
7 p |
187 |
(a)
Amount that Tim and Ahmad spent
= 221 - 187
= $34
Amount that Tim and Ahmad spent
= 1 u + 1 p
1 u + 1 p = 34
1 u = 34 - 1 p --- (1)
Amount that Tim and Ahmad had left
= 4 u + 7 p
4 u + 7 p = 187
4 u = 187 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 136 - 4 p --- (3)
(3) = (2)
136 - 4 p = 187 - 7 p
7 p - 4 p = 187 - 136
3 p = 51
1 p = 51 ÷ 3 = 17
Amount that Ahmad spent = $17
(b)
Amount that Ahmad brought along
= 8 p
= 8 x 17
= $136
Answer(s): (a) $17; (b) $136
