Dana and Sabrina had $173. Sabrina had $5 more than Dana. Dana spent 4 times as much as Sabrina and was left with
35 as much as Sabrina. How much did Dana spend?
| |
Make p the same
(1)x5 = (3) |
Dana
(1) |
Sabrina
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Dana
and Sabrina at first |
|
|
$5 more |
|
$173 |
| Before |
$420 |
$84 |
$89 |
$267 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Dana had at first
= (173 - 5) ÷ 2
= 168 ÷ 2
= $84
Amount that Sabrina had at first
= 84 + 5
= $89
84 - 4 u = 3 p --- (1)
89 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
420 - 20 u =
15 p --- (3)
(2)
x 3
267 - 3 u =
15 p --- (4)
(4) = (3)
267 - 3 u = 420 - 20 u
20 u - 3 u = 420 - 267
17 u = 153
1 u = 153 ÷ 17 = 9
Amount that Dana spent
= 4 u
= 4 x 9
= $36
Answer(s): $36
