PSLEZara and Natalie went shopping together with a total amount of $94.20. Zara spent 2 times as much as Natalie. The amount Natalie had left was $13 more than what she had spent. She had 2 times as much money left as Zara.
(a) How much money did Natalie spend?
(b) How much money did Zara have at first?
|
Zara |
Natalie |
Total |
Before |
2.5 u + 6.5 |
2 u + 13 |
94.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 6.5 |
1 u + 13 |
|
(a)
Total amount that Zara and Natalie had at first
= (2.5 u + 6.5) + (2 u + 13)
= 2.5 u + 2 u + 6.5 + 13
= 4.5 u + 19.5
4.5 u + 19.5 = 94.2
4.5 u = 94.2 - 19.5
4.5 u = 74.7
1 u = 74.7 ÷ 4.5 = 16.6
Amount that Natalie had at first
= 1 u
= $16.60
(b)
Amount that Zara had at first
= 2.5 u + 6.5
= (2.5 x 16.6) + 6.5
= 41.5 + 6.5
= $48
Answer(s): (a) $16.60; (b) $48