Nora bought some souvenirs for her students at an average price of $10.40. If Nora decided to buy a pen which cost $16 for her father and a bag which cost $45 for her mother, the average price of the souvenirs would become $17.10. How many souvenirs did Nora buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
10.40 |
17.10 |
| Total Value |
10.40 u |
17.10 u + 34.20 |
Number of souvenirs that Nora bought for her students = 1 u
Amount that Nora spent on the souvenirs for her students
= 1 u x 10.40
= 10.40 u
Amount that $(Lizy) spent if she bought for her parents
= 16 + 45
= $61
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
= 17.10(1 u + 2)
= 17.10 u + 34.20
10.4 u + 61 = 17.10 u + 34.20
17.10 u - 10.4 u = 61 - 34.20
6.7 u = 26.80
1 u = 26.80 ÷ 6.7 = 4
Number of souvenirs that she bought for her students
= 1 u
= 4
Answer(s): 4
