Three girls gave an equal amount of money to buy a gift for Wesley. Diana used
14 of her money. Betty used
35 of her money and Nicole used
23 of hers. They had a total of $258 at first. How much was the gift?
| |
Diana |
Betty |
Nicole |
Total |
| Before |
4x6 =
24 u |
5x2 =
10 u |
3x3 =
9 u |
43 u ($258) |
| Change |
- 1x6 =
- 6 u |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 18 u |
| After |
3x6 =
18 u |
2x2 =
4 u |
1x3 =
3 u |
25 u |
The three girls gave equal amount of money to buy the gift. Make the amount that each spent the same. LCM of 1, 3 and 2 is 6.
Total amount that three girls had at first
= 24 u + 10 u + 9 u
= 43 u
43 u = 258
1 u = 258 ÷ 43 = 6
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 6
= $108
Answer(s): $108
