Abi bought some souvenirs for her cousins at an average price of $12.10. If Abi decided to buy a pen which cost $15 for her father and a bag which cost $30 for her mother, the average price of the souvenirs would become $14.70. How many souvenirs did Abi buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.10 |
14.70 |
| Total Value |
12.10 u |
14.70 u + 29.40 |
Number of souvenirs that Abi bought for her cousins = 1 u
Amount that Abi spent on the souvenirs for her cousins
= 1 u x 12.10
= 12.10 u
Amount that $(Lizy) spent if she bought for her parents
= 15 + 30
= $45
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
= 14.70(1 u + 2)
= 14.70 u + 29.40
12.1 u + 45 = 14.70 u + 29.40
14.70 u - 12.1 u = 45 - 29.40
2.6 u = 15.60
1 u = 15.60 ÷ 2.6 = 6
Number of souvenirs that she bought for her cousins
= 1 u
= 6
Answer(s): 6
