Joelle had $345 less than Mark. Mark spent 0.6 of his money and Joelle spent 0.4 of her money. In the end, Mark and Joelle had the same amount of money left. Find the amount of money Joelle had at first.
| |
Joelle |
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 Joelle's amount left
= 1 -
25 =
35 The amount that Mark and Joelle 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 Joelle's amount
615 of Mark's amount =
610 of Joelle's amount
Amount that Joelle had less than Mark
= 15 u - 10 u
= 5 u
5 u = 345
1 u = 345 ÷ 5 = 69
Amount that Joelle had at first
= 10 u
= 10 x 69
= $690
Answer(s): $690
