Vanessa bought some gifts for her cousins at an average price of $12.20. If Vanessa decided to buy a pen which cost $12 for her father and a bag which cost $46 for her mother, the average price of the gifts would become $14.30. How many gifts did Vanessa buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.20 |
14.30 |
| Total Value |
12.20 u |
14.30 u + 28.60 |
Number of gifts that Vanessa bought for her cousins = 1 u
Amount that Vanessa spent on the gifts for her cousins
= 1 u x 12.20
= 12.20 u
Amount that $(Lizy) spent if she bought for her parents
= 12 + 46
= $58
Total number of items bought if she bought for her parents and her cousins
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her cousins
= 14.30(1 u + 2)
= 14.30 u + 28.60
12.2 u + 58 = 14.30 u + 28.60
14.30 u - 12.2 u = 58 - 28.60
2.1 u = 29.40
1 u = 29.40 ÷ 2.1 = 14
Number of gifts that she bought for her cousins
= 1 u
= 14
Answer(s): 14
