Cindy bought some souvenirs for her relatives at an average price of $12.50. If Cindy decided to buy a pen which cost $14 for her father and a bag which cost $39 for her mother, the average price of the souvenirs would become $18.10. How many souvenirs did Cindy buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.50 |
18.10 |
| Total Value |
12.50 u |
18.10 u + 36.20 |
Number of souvenirs that Cindy bought for her relatives = 1 u
Amount that Cindy spent on the souvenirs for her relatives
= 1 u x 12.50
= 12.50 u
Amount that $(Lizy) spent if she bought for her parents
= 14 + 39
= $53
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
= 18.10(1 u + 2)
= 18.10 u + 36.20
12.5 u + 53 = 18.10 u + 36.20
18.10 u - 12.5 u = 53 - 36.20
5.6 u = 16.80
1 u = 16.80 ÷ 5.6 = 3
Number of souvenirs that she bought for her relatives
= 1 u
= 3
Answer(s): 3
