Lucy bought some souvenirs for her friends at an average price of $12.40. If Lucy decided to buy a pen which cost $16 for her father and a bag which cost $48 for her mother, the average price of the souvenirs would become $17.30. How many souvenirs did Lucy buy for her friends?
| |
Friends |
Friends and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.40 |
17.30 |
| Total Value |
12.40 u |
17.30 u + 34.60 |
Number of souvenirs that Lucy bought for her friends = 1 u
Amount that Lucy spent on the souvenirs for her friends
= 1 u x 12.40
= 12.40 u
Amount that $(Lizy) spent if she bought for her parents
= 16 + 48
= $64
Total number of items bought if she bought for her parents and her friends
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her friends
= 17.30(1 u + 2)
= 17.30 u + 34.60
12.4 u + 64 = 17.30 u + 34.60
17.30 u - 12.4 u = 64 - 34.60
4.9 u = 29.40
1 u = 29.40 ÷ 4.9 = 6
Number of souvenirs that she bought for her friends
= 1 u
= 6
Answer(s): 6
