Gwen bought some souvenirs for her cousins at an average price of $11.70. If Gwen decided to buy a pen which cost $19 for her father and a bag which cost $46 for her mother, the average price of the souvenirs would become $14.90. How many souvenirs did Gwen buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
11.70 |
14.90 |
| Total Value |
11.70 u |
14.90 u + 29.80 |
Number of souvenirs that Gwen bought for her cousins = 1 u
Amount that Gwen spent on the souvenirs for her cousins
= 1 u x 11.70
= 11.70 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 46
= $65
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
= 14.90(1 u + 2)
= 14.90 u + 29.80
11.7 u + 65 = 14.90 u + 29.80
14.90 u - 11.7 u = 65 - 29.80
3.2 u = 35.20
1 u = 35.20 ÷ 3.2 = 11
Number of souvenirs that she bought for her cousins
= 1 u
= 11
Answer(s): 11
