Emily bought some souvenirs for her relatives at an average price of $13.80. If Emily decided to buy a pen which cost $14 for her father and a bag which cost $34 for her mother, the average price of the souvenirs would become $14.10. How many souvenirs did Emily buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.80 |
14.10 |
| Total Value |
13.80 u |
14.10 u + 28.20 |
Number of souvenirs that Emily bought for her relatives = 1 u
Amount that Emily spent on the souvenirs for her relatives
= 1 u x 13.80
= 13.80 u
Amount that $(Lizy) spent if she bought for her parents
= 14 + 34
= $48
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
= 14.10(1 u + 2)
= 14.10 u + 28.20
13.8 u + 48 = 14.10 u + 28.20
14.10 u - 13.8 u = 48 - 28.20
0.3 u = 19.80
1 u = 19.80 ÷ 0.3 = 66
Number of souvenirs that she bought for her relatives
= 1 u
= 66
Answer(s): 66
