Tiffany and Esther had $125. Esther had $5 more than Tiffany. Tiffany spent 4 times as much as Esther and was left with
23 as much as Esther. How much did Esther spend less than Tiffany?
| |
Make p the same
(1) x 3 = (3) |
Tiffany
(1) |
Esther
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Tiffany
and Esther at first |
|
|
$5 more |
|
$125 |
| Before |
$180 |
$60 |
$65 |
$130 |
|
| Change |
- 12 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Tiffany had at first
= (125 - 5) ÷ 2
= 120 ÷ 2
= $60
Amount that Esther had at first
= 60 + 5
= $65
60 - 4 u = 2 p --- (1)
65 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
180 - 12 u =
6 p --- (3)
(2)
x 2
130 - 2 u =
6 p --- (4)
(4) = (3)
130 - 2 u = 180 - 12 u
12 u - 2 u = 180 - 130
10 u = 50
1 u = 50 ÷ 10 = 5
Amount that Esther spent less than Tiffany
= 4 u - 1 u
= 3 u
= 3 x 5
= $15
Answer(s): $15
