Tom and Tim went shopping with a total amount of $308. They had $252 left after shopping. Tom's remaining money was 3 times the amount he paid for. Tim's remaining money was 6 times the amount he had spent.
- How much did Tim spend?
- How much did Tim bring along for shopping?
| |
Tom |
Tim |
Total |
| Before |
4 u |
7 p |
308 |
| Change |
- 1 u |
- 1 p |
- 56 |
| After |
3 u |
6 p |
252 |
(a)
Amount that Tom and Tim spent
= 308 - 252
= $56
Amount that Tom and Tim spent
= 1 u + 1 p
1 u + 1 p = 56
1 u = 56 - 1 p --- (1)
Amount that Tom and Tim had left
= 3 u + 6 p
3 u + 6 p = 252
3 u = 252 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 168 - 3 p --- (3)
(3) = (2)
168 - 3 p = 252 - 6 p
6 p - 3 p = 252 - 168
3 p = 84
1 p = 84 ÷ 3 = 28
Amount that Tim spent = $28
(b)
Amount that Tim brought along
= 7 p
= 7 x 28
= $196
Answer(s): (a) $28; (b) $196
