Three girls gave an equal amount of money to buy a gift for Ethan. Xylia used
13 of her money. Betty used
25 of her money and Anna used
34 of hers. They had a total of $164 at first. How much was the gift?
| |
Xylia |
Betty |
Anna |
Total |
| Before |
3x6 =
18 u |
5x3 =
15 u |
4x2 =
8 u |
41 u ($164) |
| Change |
- 1x6 =
- 6 u |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
- 18 u |
| After |
2x6 =
12 u |
3x3 =
9 u |
1x2 =
2 u |
23 u |
The three girls gave equal amount of money to buy the gift. Make the amount that each spent the same. LCM of 1, 2 and 3 is 6.
Total amount that three girls had at first
= 18 u + 15 u + 8 u
= 41 u
41 u = 164
1 u = 164 ÷ 41 = 4
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 4
= $72
Answer(s): $72
