Irene and Oscar had a total of $127. After Irene spent
13 of her money and Oscar spent $17, the ratio of Irene's money to Kennenth's money became 1 : 4. How much money had Oscar at first?
|
Irene |
Oscar |
Total |
Before |
3 u |
8 u + $17 |
$127 |
Change |
- 1 u |
- $17 |
|
After |
2 u |
|
|
Comparing Irene and Oscar in the end |
1x2 = 2 u |
4x2 = 8 u |
|
The amount that Irene had in the end is repeated. Make the amount that Irene had in the end the same. LCM of 2 and 1 is 2.
Total amount that Irene and Oscar had at first
= 3 u + 8 u + 17
= 11 u + 17
11 u + 17 = 127
11 u = 127 - 17
11 u = 110
1 u = 110 ÷ 11 = 10
Amount that Oscar had at first
= 8 u + 17
= 8 x 10 + 17
= 80 + 17
= $97
Answer(s): $97