Tiffany and Sabrina had $113. Sabrina had $9 more than Tiffany. Tiffany spent 2 times as much as Sabrina and was left with
34 as much as Sabrina. How much did Tiffany spend?
| |
Make p the same
(1)x4 = (3) |
Tiffany
(1) |
Sabrina
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Tiffany
and Sabrina at first |
|
|
$9 more |
|
$113 |
| Before |
$208 |
$52 |
$61 |
$183 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Tiffany had at first
= (113 - 9) ÷ 2
= 104 ÷ 2
= $52
Amount that Sabrina had at first
= 52 + 9
= $61
52 - 2 u = 3 p --- (1)
61 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
208 - 8 u =
12 p --- (3)
(2)
x 3
183 - 3 u =
12 p --- (4)
(4) = (3)
183 - 3 u = 208 - 8 u
8 u - 3 u = 208 - 183
5 u = 25
1 u = 25 ÷ 5 = 5
Amount that Tiffany spent
= 2 u
= 2 x 5
= $10
Answer(s): $10
