Nicole and Caden had a total of $227. After Nicole spent
37 of her money and Caden spent $11, the ratio of Nicole's money to Kennenth's money became 1 : 5. How much money had Caden at first?
| |
Nicole |
Caden |
Total |
| Before |
7 u |
20 u + $11 |
$227 |
| Change |
- 3 u |
- $11 |
|
| After |
4 u |
|
|
Comparing Nicole and
Caden in the end |
1x4 =
4 u |
5x4 =
20 u |
|
The amount that Nicole had in the end is repeated. Make the amount that Nicole had in the end the same. LCM of 4 and 1 is 4.
Total amount that Nicole and Caden had at first
= 7 u + 20 u + 11
= 27 u + 11
27 u + 11 = 227
27 u = 227 - 11
27 u = 216
1 u = 216 ÷ 27 = 8
Amount that Caden had at first
= 20 u + 11
= 20 x 8 + 11
= 160 + 11
= $171
Answer(s): $171
