Erika and Julian had a total of $116. After Erika spent
37 of her money and Julian spent $8, the ratio of Erika's money to Kennenth's money became 1 : 5. How much money had Julian at first?
| |
Erika |
Julian |
Total |
| Before |
7 u |
20 u + $8 |
$116 |
| Change |
- 3 u |
- $8 |
|
| After |
4 u |
|
|
Comparing Erika and
Julian in the end |
1x4 =
4 u |
5x4 =
20 u |
|
The amount that Erika had in the end is repeated. Make the amount that Erika had in the end the same. LCM of 4 and 1 is 4.
Total amount that Erika and Julian had at first
= 7 u + 20 u + 8
= 27 u + 8
27 u + 8 = 116
27 u = 116 - 8
27 u = 108
1 u = 108 ÷ 27 = 4
Amount that Julian had at first
= 20 u + 8
= 20 x 4 + 8
= 80 + 8
= $88
Answer(s): $88
