Shannon and Owen had a total of $74. After Shannon spent
27 of her money and Owen spent $20, the ratio of Shannon's money to Kennenth's money became 1 : 4. How much money had Owen at first?
| |
Shannon |
Owen |
Total |
| Before |
7 u |
20 u + $20 |
$74 |
| Change |
- 2 u |
- $20 |
|
| After |
5 u |
|
|
Comparing Shannon and
Owen in the end |
1x5 =
5 u |
4x5 =
20 u |
|
The amount that Shannon had in the end is repeated. Make the amount that Shannon had in the end the same. LCM of 5 and 1 is 5.
Total amount that Shannon and Owen had at first
= 7 u + 20 u + 20
= 27 u + 20
27 u + 20 = 74
27 u = 74 - 20
27 u = 54
1 u = 54 ÷ 27 = 2
Amount that Owen had at first
= 20 u + 20
= 20 x 2 + 20
= 40 + 20
= $60
Answer(s): $60
