Julie bought some souvenirs for her colleagues at an average price of $12.10. If Julie decided to buy a pen which cost $17 for her father and a bag which cost $40 for her mother, the average price of the souvenirs would become $14.15. How many souvenirs did Julie buy for her colleagues?
| |
Colleagues |
Colleagues and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.10 |
14.15 |
| Total Value |
12.10 u |
14.15 u + 28.30 |
Number of souvenirs that Julie bought for her colleagues = 1 u
Amount that Julie spent on the souvenirs for her colleagues
= 1 u x 12.10
= 12.10 u
Amount that $(Lizy) spent if she bought for her parents
= 17 + 40
= $57
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
= 14.15(1 u + 2)
= 14.15 u + 28.30
12.1 u + 57 = 14.15 u + 28.30
14.15 u - 12.1 u = 57 - 28.30
2.05 u = 28.70
1 u = 28.70 ÷ 2.05 = 14
Number of souvenirs that she bought for her colleagues
= 1 u
= 14
Answer(s): 14
