Jade had $1547 less than Jeremy. Jade spent
14 of her money and Jeremy spent
57 of his money. In the end, Jeremy and Jade had the same amount of money left. Find the amount of money Jeremy had at first.
|
Jade |
Jeremy |
Difference |
Before |
4x2 = 8 u |
7x3 = 21 u |
13 u |
Change |
- 1x2 = - 2 u |
- 5x3 = - 15 u |
|
After |
3x2 = 6 u |
2x3 = 6 u |
|
Fraction of Jade's money left
= 1 -
14 =
34 Fraction of Jeremy's money left
= 1 -
57 =
27Jeremy and Jade had the same amount of money in the end. Make the numerators the same. LCM of 3 and 2 is 6.
34 of Jade's money =
27 of Jeremy's money
68 of Jade's money =
621 of Jeremy's money
Amount that Jade had at first = 8 u
Amount that Jeremy had at first = 21 u
Amount that Jade had less than Jeremy had at first
= 21 u - 8 u
= 13 u
13 u = 1547
1 u = 1547 ÷ 13 = 119
Amount that Jeremy had at first
= 21 u
= 21 x 119
= $2499
Answer(s): $2499