Dylan and John had $1722 altogether. After Dylan spent
16 of his money and John spent
56 of his money, Dylan was left with twice as much money as John. How much money did John have at first?
| |
Dylan |
John |
Total |
| Before |
6x2 =
12 u |
6x5 =
30 u |
$1722 |
| Change |
- 1x2 =
- 2 u |
- 5x5 =
- 25 u |
|
| After |
5x2 =
10 u |
1x5 =
5 u |
|
Comparing Dylan
and John in the end |
2x5 =
10 u |
1x5 =
5 u |
|
The amount that Dylan had in the end is repeated. Make the amount that Dylan had in the end the same. LCM of 5 and 2 is 10.
Total amount that Dylan and John had at first
= 12 u + 30 u
= 42 u
42 u = 1722
1 u = 1722 ÷ 42 = 41
Amount that John had at first
= 30 u
= 30 x 41
= $1230
Answer(s): $1230
