Three girls gave an equal amount of money to buy a gift for Howard. Vanessa used
15 of her money. Natalie used
35 of her money and Opal used
23 of hers. They had a total of $196 at first. How much was the gift?
| |
Vanessa |
Natalie |
Opal |
Total |
| Before |
5x6 =
30 u |
5x2 =
10 u |
3x3 =
9 u |
49 u ($196) |
| Change |
- 1x6 =
- 6 u |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 18 u |
| After |
4x6 =
24 u |
2x2 =
4 u |
1x3 =
3 u |
31 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
= 30 u + 10 u + 9 u
= 49 u
49 u = 196
1 u = 196 ÷ 49 = 4
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 4
= $72
Answer(s): $72
