Abi and Tommy had a total of $70. After Abi spent
47 of her money and Tommy spent $18, the ratio of Abi's money to Kennenth's money became 1 : 2. How much money had Tommy at first?
| |
Abi |
Tommy |
Total |
| Before |
7 u |
6 u + $18 |
$70 |
| Change |
- 4 u |
- $18 |
|
| After |
3 u |
|
|
Comparing Abi and
Tommy in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Abi had in the end is repeated. Make the amount that Abi had in the end the same. LCM of 3 and 1 is 3.
Total amount that Abi and Tommy had at first
= 7 u + 6 u + 18
= 13 u + 18
13 u + 18 = 70
13 u = 70 - 18
13 u = 52
1 u = 52 ÷ 13 = 4
Amount that Tommy had at first
= 6 u + 18
= 6 x 4 + 18
= 24 + 18
= $42
Answer(s): $42
