Natalie and Caden had a total of $192. After Natalie spent
14 of her money and Caden spent $2, the ratio of Natalie's money to Kennenth's money became 1 : 5. How much money had Caden at first?
| |
Natalie |
Caden |
Total |
| Before |
4 u |
15 u + $2 |
$192 |
| Change |
- 1 u |
- $2 |
|
| After |
3 u |
|
|
Comparing Natalie and
Caden in the end |
1x3 =
3 u |
5x3 =
15 u |
|
The amount that Natalie had in the end is repeated. Make the amount that Natalie had in the end the same. LCM of 3 and 1 is 3.
Total amount that Natalie and Caden had at first
= 4 u + 15 u + 2
= 19 u + 2
19 u + 2 = 192
19 u = 192 - 2
19 u = 190
1 u = 190 ÷ 19 = 10
Amount that Caden had at first
= 15 u + 2
= 15 x 10 + 2
= 150 + 2
= $152
Answer(s): $152
