Three girls gave an equal amount of money to buy a gift for Ken. Kimberly used
16 of her money. Gem used
35 of her money and Marion used
23 of hers. They had a total of $495 at first. How much was the gift?
| |
Kimberly |
Gem |
Marion |
Total |
| Before |
6x6 =
36 u |
5x2 =
10 u |
3x3 =
9 u |
55 u ($495) |
| Change |
- 1x6 =
- 6 u |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 18 u |
| After |
5x6 =
30 u |
2x2 =
4 u |
1x3 =
3 u |
37 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
= 36 u + 10 u + 9 u
= 55 u
55 u = 495
1 u = 495 ÷ 55 = 9
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 9
= $162
Answer(s): $162
