Three girls gave an equal amount of money to buy a gift for Jeremy. Cathy used
16 of her money. Hazel used
25 of her money and Penelope used
34 of hers. They had a total of $413 at first. How much was the gift?
| |
Cathy |
Hazel |
Penelope |
Total |
| Before |
6x6 =
36 u |
5x3 =
15 u |
4x2 =
8 u |
$413 |
| Change |
- 1x6 =
- 6 u |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
- 18 u |
| After |
5x6 =
30 u |
3x3 =
9 u |
1x2 =
2 u |
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
= 36 u + 15 u + 8 u
= 59 u
59 u = 413
1 u = 413 ÷ 59 = 7
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 7
= $126
Answer(s): $126
