Cindy and Ahmad had a total of $281. After Cindy spent
17 of her money and Ahmad spent $2, the ratio of Cindy's money to Kennenth's money became 1 : 4. How much money had Ahmad at first?
| |
Cindy |
Ahmad |
Total |
| Before |
7 u |
24 u + $2 |
$281 |
| Change |
- 1 u |
- $2 |
|
| After |
6 u |
|
|
Comparing Cindy and
Ahmad in the end |
1x6 =
6 u |
4x6 =
24 u |
|
The amount that Cindy had in the end is repeated. Make the amount that Cindy had in the end the same. LCM of 6 and 1 is 6.
Total amount that Cindy and Ahmad had at first
= 7 u + 24 u + 2
= 31 u + 2
31 u + 2 = 281
31 u = 281 - 2
31 u = 279
1 u = 279 ÷ 31 = 9
Amount that Ahmad had at first
= 24 u + 2
= 24 x 9 + 2
= 216 + 2
= $218
Answer(s): $218
