Lucy and Zeph had a total of $267. After Lucy spent
17 of her money and Zeph spent $8, the ratio of Lucy's money to Kennenth's money became 1 : 5. How much money had Zeph at first?
| |
Lucy |
Zeph |
Total |
| Before |
7 u |
30 u + $8 |
$267 |
| Change |
- 1 u |
- $8 |
|
| After |
6 u |
|
|
Comparing Lucy and
Zeph in the end |
1x6 =
6 u |
5x6 =
30 u |
|
The amount that Lucy had in the end is repeated. Make the amount that Lucy had in the end the same. LCM of 6 and 1 is 6.
Total amount that Lucy and Zeph had at first
= 7 u + 30 u + 8
= 37 u + 8
37 u + 8 = 267
37 u = 267 - 8
37 u = 259
1 u = 259 ÷ 37 = 7
Amount that Zeph had at first
= 30 u + 8
= 30 x 7 + 8
= 210 + 8
= $218
Answer(s): $218
