Raeann had $425 less than Zeph. Zeph spent 0.8 of his money and Raeann spent 0.3 of her money. In the end, Zeph and Raeann had the same amount of money left. Find the amount of money Raeann had at first.
| |
Raeann |
Zeph |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Zeph's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Raeann's amount left
= 1 -
310 =
710 The amount that Zeph and Raeann each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Zeph's amount =
710 of Raeann's amount
735 of Zeph's amount =
710 of Raeann's amount
Amount that Raeann had less than Zeph
= 35 u - 10 u
= 25 u
25 u = 425
1 u = 425 ÷ 25 = 17
Amount that Raeann had at first
= 10 u
= 10 x 17
= $170
Answer(s): $170
