Jen had $400 less than Oliver. Oliver spent 0.8 of his money and Jen spent 0.3 of her money. In the end, Oliver and Jen had the same amount of money left. Find the amount of money Jen had at first.
| |
Jen |
Oliver |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Oliver's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Jen's amount left
= 1 -
310 =
710 The amount that Oliver and Jen each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Oliver's amount =
710 of Jen's amount
735 of Oliver's amount =
710 of Jen's amount
Amount that Jen had less than Oliver
= 35 u - 10 u
= 25 u
25 u = 400
1 u = 400 ÷ 25 = 16
Amount that Jen had at first
= 10 u
= 10 x 16
= $160
Answer(s): $160
