Linda bought some gifts for her colleagues at an average price of $10.30. If Linda decided to buy a pen which cost $17 for her father and a bag which cost $36 for her mother, the average price of the gifts would become $15.70. How many gifts did Linda buy for her colleagues?
| |
Colleagues |
Colleagues and parents |
| Number |
1 u |
1 u + 2 |
| Value |
10.30 |
15.70 |
| Total Value |
10.30 u |
15.70 u + 31.40 |
Number of gifts that Linda bought for her colleagues = 1 u
Amount that Linda spent on the gifts for her colleagues
= 1 u x 10.30
= 10.30 u
Amount that $(Lizy) spent if she bought for her parents
= 17 + 36
= $53
Total number of items bought if she bought for her parents and her colleagues
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her colleagues
= 15.70(1 u + 2)
= 15.70 u + 31.40
10.3 u + 53 = 15.70 u + 31.40
15.70 u - 10.3 u = 53 - 31.40
5.4 u = 21.60
1 u = 21.60 ÷ 5.4 = 4
Number of gifts that she bought for her colleagues
= 1 u
= 4
Answer(s): 4
