Xuan bought some souvenirs for her relatives at an average price of $13.60. If Xuan decided to buy a pen which cost $13 for her father and a bag which cost $43 for her mother, the average price of the souvenirs would become $14.80. How many souvenirs did Xuan buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.60 |
14.80 |
| Total Value |
13.60 u |
14.80 u + 29.60 |
Number of souvenirs that Xuan bought for her relatives = 1 u
Amount that Xuan spent on the souvenirs for her relatives
= 1 u x 13.60
= 13.60 u
Amount that $(Lizy) spent if she bought for her parents
= 13 + 43
= $56
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
= 14.80(1 u + 2)
= 14.80 u + 29.60
13.6 u + 56 = 14.80 u + 29.60
14.80 u - 13.6 u = 56 - 29.60
1.2 u = 26.40
1 u = 26.40 ÷ 1.2 = 22
Number of souvenirs that she bought for her relatives
= 1 u
= 22
Answer(s): 22
