Penelope and Oliver had a total of $120. After Penelope spent
35 of her money and Oliver spent $16, the ratio of Penelope's money to Kennenth's money became 1 : 4. How much money had Oliver at first?
| |
Penelope |
Oliver |
Total |
| Before |
5 u |
8 u + $16 |
$120 |
| Change |
- 3 u |
- $16 |
|
| After |
2 u |
|
|
Comparing Penelope and
Oliver in the end |
1x2 =
2 u |
4x2 =
8 u |
|
The amount that Penelope had in the end is repeated. Make the amount that Penelope had in the end the same. LCM of 2 and 1 is 2.
Total amount that Penelope and Oliver had at first
= 5 u + 8 u + 16
= 13 u + 16
13 u + 16 = 120
13 u = 120 - 16
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Oliver had at first
= 8 u + 16
= 8 x 8 + 16
= 64 + 16
= $80
Answer(s): $80
