Opal and Oscar had a total of $111. After Opal spent
14 of her money and Oscar spent $11, the ratio of Opal's money to Kennenth's money became 1 : 2. How much money had Oscar at first?
| |
Opal |
Oscar |
Total |
| Before |
4 u |
6 u + $11 |
$111 |
| Change |
- 1 u |
- $11 |
|
| After |
3 u |
|
|
Comparing Opal and
Oscar in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Opal had in the end is repeated. Make the amount that Opal had in the end the same. LCM of 3 and 1 is 3.
Total amount that Opal and Oscar had at first
= 4 u + 6 u + 11
= 10 u + 11
10 u + 11 = 111
10 u = 111 - 11
10 u = 100
1 u = 100 ÷ 10 = 10
Amount that Oscar had at first
= 6 u + 11
= 6 x 10 + 11
= 60 + 11
= $71
Answer(s): $71
