Raeann bought some souvenirs for her relatives at an average price of $13.40. If Raeann decided to buy a pen which cost $16 for her father and a bag which cost $36 for her mother, the average price of the souvenirs would become $17.60. How many souvenirs did Raeann buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.40 |
17.60 |
| Total Value |
13.40 u |
17.60 u + 35.20 |
Number of souvenirs that Raeann bought for her relatives = 1 u
Amount that Raeann spent on the souvenirs for her relatives
= 1 u x 13.40
= 13.40 u
Amount that $(Lizy) spent if she bought for her parents
= 16 + 36
= $52
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
= 17.60(1 u + 2)
= 17.60 u + 35.20
13.4 u + 52 = 17.60 u + 35.20
17.60 u - 13.4 u = 52 - 35.20
4.2 u = 16.80
1 u = 16.80 ÷ 4.2 = 4
Number of souvenirs that she bought for her relatives
= 1 u
= 4
Answer(s): 4
