Ivory had $320 less than Dylan. Dylan spent 0.7 of his money and Ivory spent 0.3 of her money. In the end, Dylan and Ivory had the same amount of money left. Find the amount of money Ivory had at first.
| |
Ivory |
Dylan |
Difference |
| Before |
30 u |
70 u |
40 u |
| Change |
- 3 u |
- 7 u |
|
| After |
21 u |
21 u |
|
0.7 =
710 Fraction of Dylan's amount left
= 1 -
710 =
310 0.3 =
310 Fraction of Ivory's amount left
= 1 -
310 =
710 The amount that Dylan and Ivory each had in the end is the same. Make the numerators the same. LCM of 3 and 7 is 21.
310 of Dylan's amount =
710 of Ivory's amount
2170 of Dylan's amount =
2130 of Ivory's amount
Amount that Ivory had less than Dylan
= 70 u - 30 u
= 40 u
40 u = 320
1 u = 320 ÷ 40 = 8
Amount that Ivory had at first
= 30 u
= 30 x 8
= $240
Answer(s): $240
