Nicole and Diana had $168. Diana had $8 more than Nicole. Nicole spent 4 times as much as Diana and was left with
35 as much as Diana. How much did Diana spend less than Nicole?
| |
Make p the same
(1) x 5 = (3) |
Nicole
(1) |
Diana
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Nicole
and Diana at first |
|
|
$8 more |
|
$168 |
| Before |
$400 |
$80 |
$88 |
$264 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Nicole had at first
= (168 - 8) ÷ 2
= 160 ÷ 2
= $80
Amount that Diana had at first
= 80 + 8
= $88
80 - 4 u = 3 p --- (1)
88 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
400 - 20 u =
15 p --- (3)
(2)
x 3
264 - 3 u =
15 p --- (4)
(4) = (3)
264 - 3 u = 400 - 20 u
20 u - 3 u = 400 - 264
17 u = 136
1 u = 136 ÷ 17 = 8
Amount that Diana spent less than Nicole
= 4 u - 1 u
= 3 u
= 3 x 8
= $24
Answer(s): $24
