Jen had $123 more than Elijah. Jen spent
23 of her money and Elijah spent
59 of his money. In the end, Elijah and Jen had the same amount of money left. Find the amount of money Elijah had at first.
| |
Jen |
Elijah |
More |
Before |
3x4 =
12 u |
9 u |
3 u |
Change |
- 2x4 =
- 8 u |
- 5 u |
|
After |
1x4 =
4 u |
4 u |
|
Fraction of money that Jen left
= 1 -
23 =
13 Fraction of money that Elijah left
= 1 -
59 =
49 The amount of money that Elijah and Jen had in the end is the same. Make the amount of money that Elijah and Jen had in the end the same. LCM of 1 and 4 is 4.
Amount that Jen had more than Elijah at first
= 12 u - 9 u
= 3 u
3 u = 123
1 u = 123 ÷ 3 = 41
Amount that Elijah had at first
= 9 u
= 9 x 41
= $369
Answer(s): $369
