Hazel bought some gifts for her friends at an average price of $10.90. If Hazel decided to buy a pen which cost $19 for her father and a bag which cost $43 for her mother, the average price of the gifts would become $17.60. How many gifts did Hazel buy for her friends?
| |
Friends |
Friends and parents |
| Number |
1 u |
1 u + 2 |
| Value |
10.90 |
17.60 |
| Total Value |
10.90 u |
17.60 u + 35.20 |
Number of gifts that Hazel bought for her friends = 1 u
Amount that Hazel spent on the gifts for her friends
= 1 u x 10.90
= 10.90 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 43
= $62
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
= 17.60(1 u + 2)
= 17.60 u + 35.20
10.9 u + 62 = 17.60 u + 35.20
17.60 u - 10.9 u = 62 - 35.20
6.7 u = 26.80
1 u = 26.80 ÷ 6.7 = 4
Number of gifts that she bought for her friends
= 1 u
= 4
Answer(s): 4
