Jenson and Caden had $1050 altogether. After Jenson spent
15 of his money and Caden spent
45 of his money, Jenson was left with thrice as much money as Caden. How much money did Caden have at first?
| |
Jenson |
Caden |
Total |
| Before |
5x3 =
15 u |
5x4 =
20 u |
$1050 |
| Change |
- 1x3 =
- 3 u |
- 4x4 =
- 16 u |
|
| After |
4x3 =
12 u |
1x4 =
4 u |
|
Comparing Jenson
and Caden in the end |
3x4 =
12 u |
1x4 =
4 u |
|
The amount that Jenson had in the end is repeated. Make the amount that Jenson had in the end the same. LCM of 4 and 3 is 12.
Total amount that Jenson and Caden had at first
= 15 u + 20 u
= 35 u
35 u = 1050
1 u = 1050 ÷ 35 = 30
Amount that Caden had at first
= 20 u
= 20 x 30
= $600
Answer(s): $600
