Abi and Mark had a total of $51. After Abi spent
27 of her money and Mark spent $7, the ratio of Abi's money to Kennenth's money became 1 : 3. How much money had Mark at first?
| |
Abi |
Mark |
Total |
| Before |
7 u |
15 u + $7 |
$51 |
| Change |
- 2 u |
- $7 |
|
| After |
5 u |
|
|
Comparing Abi and
Mark in the end |
1x5 =
5 u |
3x5 =
15 u |
|
The amount that Abi had in the end is repeated. Make the amount that Abi had in the end the same. LCM of 5 and 1 is 5.
Total amount that Abi and Mark had at first
= 7 u + 15 u + 7
= 22 u + 7
22 u + 7 = 51
22 u = 51 - 7
22 u = 44
1 u = 44 ÷ 22 = 2
Amount that Mark had at first
= 15 u + 7
= 15 x 2 + 7
= 30 + 7
= $37
Answer(s): $37
