PSLENatalie and Julie went shopping together with a total amount of $104.40. Natalie spent 2 times as much as Julie. The amount Julie had left was $30 more than what she had spent. She had 2 times as much money left as Natalie.
(a) How much money did Julie spend?
(b) How much money did Natalie have at first?
|
Natalie |
Julie |
Total |
Before |
2.5 u + 15 |
2 u + 30 |
104.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 15 |
1 u + 30 |
|
(a)
Total amount that Natalie and Julie had at first
= (2.5 u + 15) + (2 u + 30)
= 2.5 u + 2 u + 15 + 30
= 4.5 u + 45
4.5 u + 45 = 104.4
4.5 u = 104.4 - 45
4.5 u = 59.4
1 u = 59.4 ÷ 4.5 = 13.2
Amount that Julie had at first
= 1 u
= $13.20
(b)
Amount that Natalie had at first
= 2.5 u + 15
= (2.5 x 13.2) + 15
= 33 + 15
= $48
Answer(s): (a) $13.20; (b) $48