Tina bought some gifts for her students at an average price of $12.60. If Tina decided to buy a pen which cost $19 for her father and a bag which cost $32 for her mother, the average price of the gifts would become $16.90. How many gifts did Tina buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.60 |
16.90 |
| Total Value |
12.60 u |
16.90 u + 33.80 |
Number of gifts that Tina bought for her students = 1 u
Amount that Tina 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
= 19 + 32
= $51
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
= 16.90(1 u + 2)
= 16.90 u + 33.80
12.6 u + 51 = 16.90 u + 33.80
16.90 u - 12.6 u = 51 - 33.80
4.3 u = 17.20
1 u = 17.20 ÷ 4.3 = 4
Number of gifts that she bought for her students
= 1 u
= 4
Answer(s): 4
