Jen bought some gifts for her colleagues at an average price of $13.30. If Jen decided to buy a pen which cost $18 for her father and a bag which cost $38 for her mother, the average price of the gifts would become $18.20. How many gifts did Jen buy for her colleagues?
| |
Colleagues |
Colleagues and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.30 |
18.20 |
| Total Value |
13.30 u |
18.20 u + 36.40 |
Number of gifts that Jen bought for her colleagues = 1 u
Amount that Jen spent on the gifts for her colleagues
= 1 u x 13.30
= 13.30 u
Amount that $(Lizy) spent if she bought for her parents
= 18 + 38
= $56
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
= 18.20(1 u + 2)
= 18.20 u + 36.40
13.3 u + 56 = 18.20 u + 36.40
18.20 u - 13.3 u = 56 - 36.40
4.9 u = 19.60
1 u = 19.60 ÷ 4.9 = 4
Number of gifts that she bought for her colleagues
= 1 u
= 4
Answer(s): 4
