Nicole, Risa and Victoria bought a present for their uncle. They shared the cost equally between them. Nicole used
45 of her savings, Risa used
110 of her savings and Victoria used
38 of her savings. Nicole and Victoria had $253 left. How much did each girl pay for the present?
The amount spent by each girl is the same. Make the numerators the same.
LCM of 4, 1 and 3 = 12
4x35x3 of Nicole's savings =
1x1210x12 of Risa's savings =
3x48x4 of Victoria savings
1215 of Nicole's savings =
12120 of Risa's savings =
1232 of Victoria's savings
|
Nicole |
Risa |
Victoria |
Before |
15 u |
120 u |
32 u |
Change |
- 12 u |
- 12 u |
- 12 u |
After |
3 u |
108 u |
20 u |
Savings that Nicole had left
= 15 u - 12 u
= 3 u
Savings that Victoria had left
= 32 u - 12 u
= 20 u
Total savings that Nicole and Victoria had left
= 3 u + 20 u
= 23 u
23 u = 253
1 u = 253 ÷ 23 = 11
Amount that each girl paid
= 12 u
= 12 x 11
= $132
Answer(s): $132