Erika and Zeph had a total of $134. After Erika spent
27 of her money and Zeph spent $2, the ratio of Erika's money to Kennenth's money became 1 : 3. How much money had Zeph at first?
| |
Erika |
Zeph |
Total |
| Before |
7 u |
15 u + $2 |
$134 |
| Change |
- 2 u |
- $2 |
|
| After |
5 u |
|
|
Comparing Erika and
Zeph in the end |
1x5 =
5 u |
3x5 =
15 u |
|
The amount that Erika had in the end is repeated. Make the amount that Erika had in the end the same. LCM of 5 and 1 is 5.
Total amount that Erika and Zeph had at first
= 7 u + 15 u + 2
= 22 u + 2
22 u + 2 = 134
22 u = 134 - 2
22 u = 132
1 u = 132 ÷ 22 = 6
Amount that Zeph had at first
= 15 u + 2
= 15 x 6 + 2
= 90 + 2
= $92
Answer(s): $92
