Kathy bought some souvenirs for her students at an average price of $12.60. If Kathy decided to buy a pen which cost $14 for her father and a bag which cost $43 for her mother, the average price of the souvenirs would become $17.90. How many souvenirs did Kathy buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.60 |
17.90 |
| Total Value |
12.60 u |
17.90 u + 35.80 |
Number of souvenirs that Kathy bought for her students = 1 u
Amount that Kathy spent on the souvenirs for her students
= 1 u x 12.60
= 12.60 u
Amount that $(Lizy) spent if she bought for her parents
= 14 + 43
= $57
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
= 17.90(1 u + 2)
= 17.90 u + 35.80
12.6 u + 57 = 17.90 u + 35.80
17.90 u - 12.6 u = 57 - 35.80
5.3 u = 21.20
1 u = 21.20 ÷ 5.3 = 4
Number of souvenirs that she bought for her students
= 1 u
= 4
Answer(s): 4
