Elijah and Luis went shopping with a total amount of $208. They had $176 left after shopping. Elijah's remaining money was 4 times the amount he paid for. Luis's remaining money was 7 times the amount he had spent.
- How much did Luis spend?
- How much did Luis bring along for shopping?
|
Elijah |
Luis |
Total |
Before |
5 u |
8 p |
208 |
Change |
- 1 u |
- 1 p |
- 32 |
After |
4 u |
7 p |
176 |
(a)
Amount that Elijah and Luis spent
= 208 - 176
= $32
Amount that Elijah and Luis spent
= 1 u + 1 p
1 u + 1 p = 32
1 u = 32 - 1 p --- (1)
Amount that Elijah and Luis had left
= 4 u + 7 p
4 u + 7 p = 176
4 u = 176 - 7 p --- (2)
Make u the same.
(1)
x 4 4 u = 128 - 4 p --- (3)
(3) = (2)
128 - 4 p = 176 - 7 p
7 p - 4 p = 176 - 128
3 p = 48
1 p = 48 ÷ 3 = 16
Amount that Luis spent = $16
(b)
Amount that Luis brought along
= 8 p
= 8 x 16
= $128
Answer(s): (a) $16; (b) $128