Opal bought some souvenirs for her students at an average price of $13.10. If Opal decided to buy a pen which cost $19 for her father and a bag which cost $33 for her mother, the average price of the souvenirs would become $17.40. How many souvenirs did Opal buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.10 |
17.40 |
| Total Value |
13.10 u |
17.40 u + 34.80 |
Number of souvenirs that Opal bought for her students = 1 u
Amount that Opal spent on the souvenirs for her students
= 1 u x 13.10
= 13.10 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 33
= $52
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
= 17.40(1 u + 2)
= 17.40 u + 34.80
13.1 u + 52 = 17.40 u + 34.80
17.40 u - 13.1 u = 52 - 34.80
4.3 u = 17.20
1 u = 17.20 ÷ 4.3 = 4
Number of souvenirs that she bought for her students
= 1 u
= 4
Answer(s): 4
