Ian and Albert went shopping with a total amount of $192. They had $160 left after shopping. Ian's remaining money was 4 times the amount he paid for. Albert's remaining money was 6 times the amount he had spent.
- How much did Albert spend?
- How much did Albert bring along for shopping?
|
Ian |
Albert |
Total |
Before |
5 u |
7 p |
192 |
Change |
- 1 u |
- 1 p |
- 32 |
After |
4 u |
6 p |
160 |
(a)
Amount that Ian and Albert spent
= 192 - 160
= $32
Amount that Ian and Albert spent
= 1 u + 1 p
1 u + 1 p = 32
1 u = 32 - 1 p --- (1)
Amount that Ian and Albert had left
= 4 u + 6 p
4 u + 6 p = 160
4 u = 160 - 6 p --- (2)
Make u the same.
(1)
x 4 4 u = 128 - 4 p --- (3)
(3) = (2)
128 - 4 p = 160 - 6 p
6 p - 4 p = 160 - 128
2 p = 32
1 p = 32 ÷ 2 = 16
Amount that Albert spent = $16
(b)
Amount that Albert brought along
= 7 p
= 7 x 16
= $112
Answer(s): (a) $16; (b) $112