Jen had $480 less than Glen. Glen spent 0.7 of his money and Jen spent 0.3 of her money. In the end, Glen and Jen had the same amount of money left. Find the amount of money Jen had at first.
|
Jen |
Glen |
Difference |
Before |
30 u |
70 u |
40 u |
Change |
- 3 u |
- 7 u |
|
After |
21 u |
21 u |
|
0.7 =
710 Fraction of Glen's amount left
= 1 -
710 =
310 0.3 =
310 Fraction of Jen's amount left
= 1 -
310 =
710 The amount that Glen and Jen each had in the end is the same. Make the numerators the same. LCM of 3 and 7 is 21.
310 of Glen's amount =
710 of Jen's amount
2170 of Glen's amount =
2130 of Jen's amount
Amount that Jen had less than Glen
= 70 u - 30 u
= 40 u
40 u = 480
1 u = 480 ÷ 40 = 12
Amount that Jen had at first
= 30 u
= 30 x 12
= $360
Answer(s): $360