Pamela and Nicole had $113. Nicole had $3 more than Pamela. Pamela spent 3 times as much as Nicole and was left with
23 as much as Nicole. How much did Pamela spend?
| |
Make p the same
(1)x3 = (3) |
Pamela
(1) |
Nicole
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Pamela
and Nicole at first |
|
|
$3 more |
|
$113 |
| Before |
$165 |
$55 |
$58 |
$116 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Pamela had at first
= (113 - 3) ÷ 2
= 110 ÷ 2
= $55
Amount that Nicole had at first
= 55 + 3
= $58
55 - 3 u = 2 p --- (1)
58 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
165 - 9 u =
6 p --- (3)
(2)
x 2
116 - 2 u =
6 p --- (4)
(4) = (3)
116 - 2 u = 165 - 9 u
9 u - 2 u = 165 - 116
7 u = 49
1 u = 49 ÷ 7 = 7
Amount that Pamela spent
= 3 u
= 3 x 7
= $21
Answer(s): $21
