Emma and Tiffany had $169. Tiffany had $39 more than Emma. Emma spent 3 times as much as Tiffany and was left with
25 as much as Tiffany. How much did Tiffany spend less than Emma?
| |
Make p the same
(1) x 5 = (3) |
Emma
(1) |
Tiffany
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Emma
and Tiffany at first |
|
|
$39 more |
|
$169 |
| Before |
$325 |
$65 |
$104 |
$208 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Emma had at first
= (169 - 39) ÷ 2
= 130 ÷ 2
= $65
Amount that Tiffany had at first
= 65 + 39
= $104
65 - 3 u = 2 p --- (1)
104 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
325 - 15 u =
10 p --- (3)
(2)
x 2
208 - 2 u =
10 p --- (4)
(4) = (3)
208 - 2 u = 325 - 15 u
15 u - 2 u = 325 - 208
13 u = 117
1 u = 117 ÷ 13 = 9
Amount that Tiffany spent less than Emma
= 3 u - 1 u
= 2 u
= 2 x 9
= $18
Answer(s): $18
