Hilda bought some gifts for her siblings at an average price of $12.10. If Hilda decided to buy a pen which cost $18 for her father and a bag which cost $37 for her mother, the average price of the gifts would become $15.95. How many gifts did Hilda buy for her siblings?
| |
Siblings |
Siblings and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.10 |
15.95 |
| Total Value |
12.10 u |
15.95 u + 31.90 |
Number of gifts that Hilda bought for her siblings = 1 u
Amount that Hilda spent on the gifts for her siblings
= 1 u x 12.10
= 12.10 u
Amount that $(Lizy) spent if she bought for her parents
= 18 + 37
= $55
Total number of items bought if she bought for her parents and her siblings
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her siblings
= 15.95(1 u + 2)
= 15.95 u + 31.90
12.1 u + 55 = 15.95 u + 31.90
15.95 u - 12.1 u = 55 - 31.90
3.85 u = 23.10
1 u = 23.10 ÷ 3.85 = 6
Number of gifts that she bought for her siblings
= 1 u
= 6
Answer(s): 6
