Shannon bought some presents for her cousins at an average price of $11.10. If Shannon decided to buy a pen which cost $15 for her father and a bag which cost $49 for her mother, the average price of the presents would become $14.90. How many presents did Shannon buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
11.10 |
14.90 |
| Total Value |
11.10 u |
14.90 u + 29.80 |
Number of presents that Shannon bought for her cousins = 1 u
Amount that Shannon spent on the presents for her cousins
= 1 u x 11.10
= 11.10 u
Amount that $(Lizy) spent if she bought for her parents
= 15 + 49
= $64
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
= 14.90(1 u + 2)
= 14.90 u + 29.80
11.1 u + 64 = 14.90 u + 29.80
14.90 u - 11.1 u = 64 - 29.80
3.8 u = 34.20
1 u = 34.20 ÷ 3.8 = 9
Number of presents that she bought for her cousins
= 1 u
= 9
Answer(s): 9
