Elyse had $155 more than Tom. Elyse spent
23 of her money and Tom spent
37 of his money. In the end, Tom and Elyse had the same amount of money left. Find the amount of money Tom had at first.
|
Elyse |
Tom |
More |
Before |
3x4 = 12 u |
7 u |
5 u |
Change |
- 2x4 = - 8 u |
- 3 u |
|
After |
1x4 = 4 u |
4 u |
|
Fraction of money that Elyse left
= 1 -
23 =
13 Fraction of money that Tom left
= 1 -
37 =
47 The amount of money that Tom and Elyse had in the end is the same. Make the amount of money that Tom and Elyse had in the end the same. LCM of 1 and 4 is 4.
Amount that Elyse had more than Tom at first
= 12 u - 7 u
= 5 u
5 u = 155
1 u = 155 ÷ 5 = 31
Amount that Tom had at first
= 7 u
= 7 x 31
= $217
Answer(s): $217