Penelope and Julian had a total of $233. After Penelope spent
16 of her money and Julian spent $16, the ratio of Penelope's money to Kennenth's money became 1 : 5. How much money had Julian at first?
| |
Penelope |
Julian |
Total |
| Before |
6 u |
25 u + $16 |
$233 |
| Change |
- 1 u |
- $16 |
|
| After |
5 u |
|
|
Comparing Penelope and
Julian in the end |
1x5 =
5 u |
5x5 =
25 u |
|
The amount that Penelope had in the end is repeated. Make the amount that Penelope had in the end the same. LCM of 5 and 1 is 5.
Total amount that Penelope and Julian had at first
= 6 u + 25 u + 16
= 31 u + 16
31 u + 16 = 233
31 u = 233 - 16
31 u = 217
1 u = 217 ÷ 31 = 7
Amount that Julian had at first
= 25 u + 16
= 25 x 7 + 16
= 175 + 16
= $191
Answer(s): $191
