Victoria, Pamela and Opal bought a gift for their mother. They shared the cost equally between them. Victoria used
59 of her savings, Pamela used
18 of her savings and Opal used
35 of her savings. Victoria and Opal had $528 left. How much did each girl pay for the gift?
The amount spent by each girl is the same. Make the numerators the same.
LCM of 5, 1 and 3 = 15
5x39x3 of Victoria's savings =
1x158x15 of Pamela's savings =
3x55x5 of Opal savings
1527 of Victoria's savings =
15120 of Pamela's savings =
1525 of Opal's savings
|
Victoria |
Pamela |
Opal |
Before |
27 u |
120 u |
25 u |
Change |
- 15 u |
- 15 u |
- 15 u |
After |
12 u |
105 u |
10 u |
Savings that Victoria had left
= 27 u - 15 u
= 12 u
Savings that Opal had left
= 25 u - 15 u
= 10 u
Total savings that Victoria and Opal had left
= 12 u + 10 u
= 22 u
22 u = 528
1 u = 528 ÷ 22 = 24
Amount that each girl paid
= 15 u
= 15 x 24
= $360
Answer(s): $360