Yoko had $1139 less than Dylan. Yoko spent
16 of her money and Dylan spent
47 of his money. In the end, Dylan and Yoko had the same amount of money left. Find the amount of money Dylan had at first.
|
Yoko |
Dylan |
Difference |
Before |
6x3 = 18 u |
7x5 = 35 u |
17 u |
Change |
- 1x3 = - 3 u |
- 4x5 = - 20 u |
|
After |
5x3 = 15 u |
3x5 = 15 u |
|
Fraction of Yoko's money left
= 1 -
16 =
56 Fraction of Dylan's money left
= 1 -
47 =
37Dylan and Yoko had the same amount of money in the end. Make the numerators the same. LCM of 5 and 3 is 15.
56 of Yoko's money =
37 of Dylan's money
1518 of Yoko's money =
1535 of Dylan's money
Amount that Yoko had at first = 18 u
Amount that Dylan had at first = 35 u
Amount that Yoko had less than Dylan had at first
= 35 u - 18 u
= 17 u
17 u = 1139
1 u = 1139 ÷ 17 = 67
Amount that Dylan had at first
= 35 u
= 35 x 67
= $2345
Answer(s): $2345