Erika had $300 less than Mark. Mark spent 0.8 of his money and Erika spent 0.4 of her money. In the end, Mark and Erika had the same amount of money left. Find the amount of money Erika had at first.
| |
Erika |
Mark |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Mark's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Erika's amount left
= 1 -
25 =
35 The amount that Mark and Erika each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Mark's amount =
35 of Erika's amount
315 of Mark's amount =
35 of Erika's amount
Amount that Erika had less than Mark
= 15 u - 5 u
= 10 u
10 u = 300
1 u = 300 ÷ 10 = 30
Amount that Erika had at first
= 5 u
= 5 x 30
= $150
Answer(s): $150
