Rachel bought some souvenirs for her colleagues at an average price of $12.50. If Rachel decided to buy a pen which cost $15 for her father and a bag which cost $37 for her mother, the average price of the souvenirs would become $14.30. How many souvenirs did Rachel buy for her colleagues?
| |
Colleagues |
Colleagues and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.50 |
14.30 |
| Total Value |
12.50 u |
14.30 u + 28.60 |
Number of souvenirs that Rachel bought for her colleagues = 1 u
Amount that Rachel spent on the souvenirs for her colleagues
= 1 u x 12.50
= 12.50 u
Amount that $(Lizy) spent if she bought for her parents
= 15 + 37
= $52
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
= 14.30(1 u + 2)
= 14.30 u + 28.60
12.5 u + 52 = 14.30 u + 28.60
14.30 u - 12.5 u = 52 - 28.60
1.8 u = 23.40
1 u = 23.40 ÷ 1.8 = 13
Number of souvenirs that she bought for her colleagues
= 1 u
= 13
Answer(s): 13
