Jaslyn bought some souvenirs for her relatives at an average price of $10.10. If Jaslyn decided to buy a pen which cost $15 for her father and a bag which cost $43 for her mother, the average price of the souvenirs would become $14.30. How many souvenirs did Jaslyn buy for her relatives?
|
Relatives |
Relatives and parents |
Number |
1 u |
1 u + 2 |
Value |
10.10 |
14.30 |
Total Value |
10.10 u |
14.30 u + 28.60 |
Number of souvenirs that Jaslyn bought for her relatives = 1 u
Amount that Jaslyn spent on the souvenirs for her relatives
= 1 u x 10.10
= 10.10 u
Amount that $(Lizy) spent if she bought for her parents
= 15 + 43
= $58
Total number of items bought if she bought for her parents and her relatives
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her relatives
= 14.30(1 u + 2)
= 14.30 u + 28.60
10.1 u + 58 = 14.30 u + 28.60
14.30 u - 10.1 u = 58 - 28.60
4.2 u = 29.40
1 u = 29.40 ÷ 4.2 = 7
Number of souvenirs that she bought for her relatives
= 1 u
= 7
Answer(s): 7