Zoe had $445 less than Mark. Mark spent 0.6 of his money and Zoe spent 0.4 of her money. In the end, Mark and Zoe had the same amount of money left. Find the amount of money Zoe had at first.
| |
Zoe |
Mark |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Mark's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Zoe's amount left
= 1 -
25 =
35 The amount that Mark and Zoe each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Mark's amount =
35 of Zoe's amount
615 of Mark's amount =
610 of Zoe's amount
Amount that Zoe had less than Mark
= 15 u - 10 u
= 5 u
5 u = 445
1 u = 445 ÷ 5 = 89
Amount that Zoe had at first
= 10 u
= 10 x 89
= $890
Answer(s): $890
