Xylia bought some souvenirs for her cousins at an average price of $13.40. If Xylia decided to buy a pen which cost $18 for her father and a bag which cost $46 for her mother, the average price of the souvenirs would become $14.60. How many souvenirs did Xylia buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.40 |
14.60 |
| Total Value |
13.40 u |
14.60 u + 29.20 |
Number of souvenirs that Xylia bought for her cousins = 1 u
Amount that Xylia spent on the souvenirs for her cousins
= 1 u x 13.40
= 13.40 u
Amount that $(Lizy) spent if she bought for her parents
= 18 + 46
= $64
Total number of items bought if she bought for her parents and her cousins
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her cousins
= 14.60(1 u + 2)
= 14.60 u + 29.20
13.4 u + 64 = 14.60 u + 29.20
14.60 u - 13.4 u = 64 - 29.20
1.2 u = 34.80
1 u = 34.80 ÷ 1.2 = 29
Number of souvenirs that she bought for her cousins
= 1 u
= 29
Answer(s): 29
