Shannon had $161 more than Sam. Shannon spent
45 of her money and Sam spent
13 of his money. In the end, Sam and Shannon had the same amount of money left. Find the amount of money Sam had at first.
| |
Shannon |
Sam |
More |
Before |
5x2 =
10 u |
3 u |
7 u |
Change |
- 4x2 =
- 8 u |
- 1 u |
|
After |
1x2 =
2 u |
2 u |
|
Fraction of money that Shannon left
= 1 -
45 =
15 Fraction of money that Sam left
= 1 -
13 =
23 The amount of money that Sam and Shannon had in the end is the same. Make the amount of money that Sam and Shannon had in the end the same. LCM of 1 and 2 is 2.
Amount that Shannon had more than Sam at first
= 10 u - 3 u
= 7 u
7 u = 161
1 u = 161 ÷ 7 = 23
Amount that Sam had at first
= 3 u
= 3 x 23
= $69
Answer(s): $69
