Linda bought some gifts for her students at an average price of $12.60. If Linda decided to buy a pen which cost $12 for her father and a bag which cost $50 for her mother, the average price of the gifts would become $14.20. How many gifts did Linda buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.60 |
14.20 |
| Total Value |
12.60 u |
14.20 u + 28.40 |
Number of gifts that Linda bought for her students = 1 u
Amount that Linda spent on the gifts for her students
= 1 u x 12.60
= 12.60 u
Amount that $(Lizy) spent if she bought for her parents
= 12 + 50
= $62
Total number of items bought if she bought for her parents and her students
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her students
= 14.20(1 u + 2)
= 14.20 u + 28.40
12.6 u + 62 = 14.20 u + 28.40
14.20 u - 12.6 u = 62 - 28.40
1.6 u = 33.60
1 u = 33.60 ÷ 1.6 = 21
Number of gifts that she bought for her students
= 1 u
= 21
Answer(s): 21
