Gillian and Emma had $160. Emma had $26 more than Gillian. Gillian spent 2 times as much as Emma and was left with
35 as much as Emma. How much did Gillian spend?
| |
Make p the same
(1)x5 = (3) |
Gillian
(1) |
Emma
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Gillian
and Emma at first |
|
|
$26 more |
|
$160 |
| Before |
$335 |
$67 |
$93 |
$279 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Gillian had at first
= (160 - 26) ÷ 2
= 134 ÷ 2
= $67
Amount that Emma had at first
= 67 + 26
= $93
67 - 2 u = 3 p --- (1)
93 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
335 - 10 u =
15 p --- (3)
(2)
x 3
279 - 3 u =
15 p --- (4)
(4) = (3)
279 - 3 u = 335 - 10 u
10 u - 3 u = 335 - 279
7 u = 56
1 u = 56 ÷ 7 = 8
Amount that Gillian spent
= 2 u
= 2 x 8
= $16
Answer(s): $16
