Nicole and Tina had $153. Tina had $21 more than Nicole. Nicole spent 3 times as much as Tina and was left with
25 as much as Tina. How much did Tina spend less than Nicole?
| |
Make p the same
(1) x 5 = (3) |
Nicole
(1) |
Tina
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Nicole
and Tina at first |
|
|
$21 more |
|
$153 |
| Before |
$330 |
$66 |
$87 |
$174 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Nicole had at first
= (153 - 21) ÷ 2
= 132 ÷ 2
= $66
Amount that Tina had at first
= 66 + 21
= $87
66 - 3 u = 2 p --- (1)
87 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
330 - 15 u =
10 p --- (3)
(2)
x 2
174 - 2 u =
10 p --- (4)
(4) = (3)
174 - 2 u = 330 - 15 u
15 u - 2 u = 330 - 174
13 u = 156
1 u = 156 ÷ 13 = 12
Amount that Tina spent less than Nicole
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
