Tammy bought some souvenirs for her relatives at an average price of $12.30. If Tammy decided to buy a pen which cost $19 for her father and a bag which cost $49 for her mother, the average price of the souvenirs would become $15.40. How many souvenirs did Tammy buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.30 |
15.40 |
| Total Value |
12.30 u |
15.40 u + 30.80 |
Number of souvenirs that Tammy bought for her relatives = 1 u
Amount that Tammy spent on the souvenirs for her relatives
= 1 u x 12.30
= 12.30 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 49
= $68
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
= 15.40(1 u + 2)
= 15.40 u + 30.80
12.3 u + 68 = 15.40 u + 30.80
15.40 u - 12.3 u = 68 - 30.80
3.1 u = 37.20
1 u = 37.20 ÷ 3.1 = 12
Number of souvenirs that she bought for her relatives
= 1 u
= 12
Answer(s): 12
