Three girls gave an equal amount of money to buy a gift for Eric. Gwen used
13 of her money. Opal used
23 of her money and Nora used
45 of hers. They had a total of $46 at first. How much was the gift?
| |
Gwen |
Opal |
Nora |
Total |
| Before |
3x4 =
12 u |
3x2 =
6 u |
5x1 =
5 u |
23 u ($46) |
| Change |
- 1x4 =
- 4 u |
- 2x2 =
- 4 u |
- 4x1 =
- 4 u |
- 12 u |
| After |
2x4 =
8 u |
1x2 =
2 u |
1x1 =
1 u |
11 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 4 is 4.
Total amount that three girls had at first
= 12 u + 6 u + 5 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Cost of the gift
= 3 x 4 u
= 12 u
= 12 x 2
= $24
Answer(s): $24
