Sarah bought some gifts for her cousins at an average price of $11.80. If Sarah decided to buy a pen which cost $12 for her father and a bag which cost $34 for her mother, the average price of the gifts would become $14.60. How many gifts did Sarah buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
11.80 |
14.60 |
| Total Value |
11.80 u |
14.60 u + 29.20 |
Number of gifts that Sarah bought for her cousins = 1 u
Amount that Sarah spent on the gifts for her cousins
= 1 u x 11.80
= 11.80 u
Amount that $(Lizy) spent if she bought for her parents
= 12 + 34
= $46
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
= 14.60(1 u + 2)
= 14.60 u + 29.20
11.8 u + 46 = 14.60 u + 29.20
14.60 u - 11.8 u = 46 - 29.20
2.8 u = 16.80
1 u = 16.80 ÷ 2.8 = 6
Number of gifts that she bought for her cousins
= 1 u
= 6
Answer(s): 6
