Emma and Kylie had $118. Kylie had $32 more than Emma. Emma spent 3 times as much as Kylie and was left with
25 as much as Kylie. How much did Kylie spend less than Emma?
| |
Make p the same
(1) x 5 = (3) |
Emma
(1) |
Kylie
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Emma
and Kylie at first |
|
|
$32 more |
|
$118 |
| Before |
$215 |
$43 |
$75 |
$150 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Emma had at first
= (118 - 32) ÷ 2
= 86 ÷ 2
= $43
Amount that Kylie had at first
= 43 + 32
= $75
43 - 3 u = 2 p --- (1)
75 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
215 - 15 u =
10 p --- (3)
(2)
x 2
150 - 2 u =
10 p --- (4)
(4) = (3)
150 - 2 u = 215 - 15 u
15 u - 2 u = 215 - 150
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Kylie spent less than Emma
= 3 u - 1 u
= 2 u
= 2 x 5
= $10
Answer(s): $10
