Zoe had $375 less than Wesley. Wesley spent 0.8 of his money and Zoe spent 0.3 of her money. In the end, Wesley and Zoe had the same amount of money left. Find the amount of money Zoe had at first.
| |
Zoe |
Wesley |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Wesley's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Zoe's amount left
= 1 -
310 =
710 The amount that Wesley and Zoe each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Wesley's amount =
710 of Zoe's amount
735 of Wesley's amount =
710 of Zoe's amount
Amount that Zoe had less than Wesley
= 35 u - 10 u
= 25 u
25 u = 375
1 u = 375 ÷ 25 = 15
Amount that Zoe had at first
= 10 u
= 10 x 15
= $150
Answer(s): $150
