Gem and Sabrina had $159. Sabrina had $27 more than Gem. Gem spent 4 times as much as Sabrina and was left with
25 as much as Sabrina. How much did Gem spend?
| |
Make p the same
(1)x5 = (3) |
Gem
(1) |
Sabrina
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Gem
and Sabrina at first |
|
|
$27 more |
|
$159 |
| Before |
$330 |
$66 |
$93 |
$186 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Gem had at first
= (159 - 27) ÷ 2
= 132 ÷ 2
= $66
Amount that Sabrina had at first
= 66 + 27
= $93
66 - 4 u = 2 p --- (1)
93 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
330 - 20 u =
10 p --- (3)
(2)
x 2
186 - 2 u =
10 p --- (4)
(4) = (3)
186 - 2 u = 330 - 20 u
20 u - 2 u = 330 - 186
18 u = 144
1 u = 144 ÷ 18 = 8
Amount that Gem spent
= 4 u
= 4 x 8
= $32
Answer(s): $32
