Abi bought some souvenirs for her students at an average price of $12.50. If Abi decided to buy a pen which cost $12 for her father and a bag which cost $30 for her mother, the average price of the souvenirs would become $15.90. How many souvenirs did Abi buy for her students?
| |
Students |
Students and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.50 |
15.90 |
| Total Value |
12.50 u |
15.90 u + 31.80 |
Number of souvenirs that Abi bought for her students = 1 u
Amount that Abi spent on the souvenirs for her students
= 1 u x 12.50
= 12.50 u
Amount that $(Lizy) spent if she bought for her parents
= 12 + 30
= $42
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
= 15.90(1 u + 2)
= 15.90 u + 31.80
12.5 u + 42 = 15.90 u + 31.80
15.90 u - 12.5 u = 42 - 31.80
3.4 u = 10.20
1 u = 10.20 ÷ 3.4 = 3
Number of souvenirs that she bought for her students
= 1 u
= 3
Answer(s): 3
