PSLEMarion and Jen went shopping together with a total amount of $124.80. Marion spent 2 times as much as Jen. The amount Jen had left was $34 more than what she had spent. She had 2 times as much money left as Marion.
(a) How much money did Jen spend?
(b) How much money did Marion have at first?
|
Marion |
Jen |
Total |
Before |
2.5 u + 17 |
2 u + 34 |
124.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17 |
1 u + 34 |
|
(a)
Total amount that Marion and Jen had at first
= (2.5 u + 17) + (2 u + 34)
= 2.5 u + 2 u + 17 + 34
= 4.5 u + 51
4.5 u + 51 = 124.8
4.5 u = 124.8 - 51
4.5 u = 73.8
1 u = 73.8 ÷ 4.5 = 16.4
Amount that Jen had at first
= 1 u
= $16.40
(b)
Amount that Marion had at first
= 2.5 u + 17
= (2.5 x 16.4) + 17
= 41 + 17
= $58
Answer(s): (a) $16.40; (b) $58