Abi and Jack had a total of $93. After Abi spent
17 of her money and Jack spent $7, the ratio of Abi's money to Kennenth's money became 1 : 6. How much money had Jack at first?
| |
Abi |
Jack |
Total |
| Before |
7 u |
36 u + $7 |
$93 |
| Change |
- 1 u |
- $7 |
|
| After |
6 u |
|
|
Comparing Abi and
Jack in the end |
1x6 =
6 u |
6x6 =
36 u |
|
The amount that Abi had in the end is repeated. Make the amount that Abi had in the end the same. LCM of 6 and 1 is 6.
Total amount that Abi and Jack had at first
= 7 u + 36 u + 7
= 43 u + 7
43 u + 7 = 93
43 u = 93 - 7
43 u = 86
1 u = 86 ÷ 43 = 2
Amount that Jack had at first
= 36 u + 7
= 36 x 2 + 7
= 72 + 7
= $79
Answer(s): $79
