Anna and Emily had $192. Emily had $12 more than Anna. Anna spent 3 times as much as Emily and was left with
35 as much as Emily. How much did Anna spend more than Emily?
| |
Make p the same
(1)x5 = (3) |
Anna
(1) |
Emily
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Anna
and Emily at first |
|
|
$12 more |
|
$192 |
| Before |
$450 |
$90 |
$102 |
$306 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Anna had at first
= (192 - 12) ÷ 2
= 180 ÷ 2
= $90
Amount that Emily had at first
= 90 + 12
= $102
90 - 3 u = 3 p --- (1)
102 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
450 - 15 u =
15 p --- (3)
(2)
x 3
306 - 3 u =
15 p --- (4)
(4) = (3)
306 - 3 u = 450 - 15 u
15 u - 3 u = 450 - 306
12 u = 144
1 u = 144 ÷ 12 = 12
Amount that Anna spent more than Emily
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
