Jen and Kathy had $176. Kathy had $8 more than Jen. Jen spent 2 times as much as Kathy and was left with
34 as much as Kathy. How much did Jen spend?
| |
Make p the same
(1)x4 = (3) |
Jen
(1) |
Kathy
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jen
and Kathy at first |
|
|
$8 more |
|
$176 |
| Before |
$336 |
$84 |
$92 |
$276 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Jen had at first
= (176 - 8) ÷ 2
= 168 ÷ 2
= $84
Amount that Kathy had at first
= 84 + 8
= $92
84 - 2 u = 3 p --- (1)
92 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
336 - 8 u =
12 p --- (3)
(2)
x 3
276 - 3 u =
12 p --- (4)
(4) = (3)
276 - 3 u = 336 - 8 u
8 u - 3 u = 336 - 276
5 u = 60
1 u = 60 ÷ 5 = 12
Amount that Jen spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
