Joelle and Jen had $160. Jen had $4 more than Joelle. Joelle spent 3 times as much as Jen and was left with
35 as much as Jen. How much did Jen spend less than Joelle?
| |
Make p the same
(1) x 5 = (3) |
Joelle
(1) |
Jen
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Joelle
and Jen at first |
|
|
$4 more |
|
$160 |
| Before |
$390 |
$78 |
$82 |
$246 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Joelle had at first
= (160 - 4) ÷ 2
= 156 ÷ 2
= $78
Amount that Jen had at first
= 78 + 4
= $82
78 - 3 u = 3 p --- (1)
82 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
390 - 15 u =
15 p --- (3)
(2)
x 3
246 - 3 u =
15 p --- (4)
(4) = (3)
246 - 3 u = 390 - 15 u
15 u - 3 u = 390 - 246
12 u = 144
1 u = 144 ÷ 12 = 12
Amount that Jen spent less than Joelle
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
