Kylie bought some gifts for her students at an average price of $10.70. If Kylie decided to buy a pen which cost $12 for her father and a bag which cost $37 for her mother, the average price of the gifts would become $15.30. How many gifts did Kylie buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
10.70 |
15.30 |
| Total Value |
10.70 u |
15.30 u + 30.60 |
Number of gifts that Kylie bought for her students = 1 u
Amount that Kylie spent on the gifts for her students
= 1 u x 10.70
= 10.70 u
Amount that $(Lizy) spent if she bought for her parents
= 12 + 37
= $49
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
= 15.30(1 u + 2)
= 15.30 u + 30.60
10.7 u + 49 = 15.30 u + 30.60
15.30 u - 10.7 u = 49 - 30.60
4.6 u = 18.40
1 u = 18.40 ÷ 4.6 = 4
Number of gifts that she bought for her students
= 1 u
= 4
Answer(s): 4
