Jack and Albert went shopping with a total amount of $247. They had $209 left after shopping. Jack's remaining money was 4 times the amount he paid for. Albert's remaining money was 7 times the amount he had spent.
- How much did Albert spend?
- How much did Albert bring along for shopping?
|
Jack |
Albert |
Total |
Before |
5 u |
8 p |
247 |
Change |
- 1 u |
- 1 p |
- 38 |
After |
4 u |
7 p |
209 |
(a)
Amount that Jack and Albert spent
= 247 - 209
= $38
Amount that Jack and Albert spent
= 1 u + 1 p
1 u + 1 p = 38
1 u = 38 - 1 p --- (1)
Amount that Jack and Albert had left
= 4 u + 7 p
4 u + 7 p = 209
4 u = 209 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 152 - 4 p --- (3)
(3) = (2)
152 - 4 p = 209 - 7 p
7 p - 4 p = 209 - 152
3 p = 57
1 p = 57 ÷ 3 = 19
Amount that Albert spent = $19
(b)
Amount that Albert brought along
= 8 p
= 8 x 19
= $152
Answer(s): (a) $19; (b) $152