Gabby and Sabrina had $113. Sabrina had $13 more than Gabby. Gabby spent 2 times as much as Sabrina and was left with
23 as much as Sabrina. How much did Gabby spend?
| |
Make p the same
(1)x3 = (3) |
Gabby
(1) |
Sabrina
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Gabby
and Sabrina at first |
|
|
$13 more |
|
$113 |
| Before |
$150 |
$50 |
$63 |
$126 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Gabby had at first
= (113 - 13) ÷ 2
= 100 ÷ 2
= $50
Amount that Sabrina had at first
= 50 + 13
= $63
50 - 2 u = 2 p --- (1)
63 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
150 - 6 u =
6 p --- (3)
(2)
x 2
126 - 2 u =
6 p --- (4)
(4) = (3)
126 - 2 u = 150 - 6 u
6 u - 2 u = 150 - 126
4 u = 24
1 u = 24 ÷ 4 = 6
Amount that Gabby spent
= 2 u
= 2 x 6
= $12
Answer(s): $12
