Gabby bought some gifts for her students at an average price of $13.50. If Gabby decided to buy a pen which cost $15 for her father and a bag which cost $48 for her mother, the average price of the gifts would become $14.10. How many gifts did Gabby buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.50 |
14.10 |
| Total Value |
13.50 u |
14.10 u + 28.20 |
Number of gifts that Gabby bought for her students = 1 u
Amount that Gabby spent on the gifts for her students
= 1 u x 13.50
= 13.50 u
Amount that $(Lizy) spent if she bought for her parents
= 15 + 48
= $63
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
= 14.10(1 u + 2)
= 14.10 u + 28.20
13.5 u + 63 = 14.10 u + 28.20
14.10 u - 13.5 u = 63 - 28.20
0.6 u = 34.80
1 u = 34.80 ÷ 0.6 = 58
Number of gifts that she bought for her students
= 1 u
= 58
Answer(s): 58
