Julie bought some presents for her colleagues at an average price of $12.30. If Julie decided to buy a pen which cost $19 for her father and a bag which cost $32 for her mother, the average price of the presents would become $16.70. How many presents did Julie buy for her colleagues?
| |
Colleagues |
Colleagues and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.30 |
16.70 |
| Total Value |
12.30 u |
16.70 u + 33.40 |
Number of presents that Julie bought for her colleagues = 1 u
Amount that Julie spent on the presents for her colleagues
= 1 u x 12.30
= 12.30 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 32
= $51
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
= 16.70(1 u + 2)
= 16.70 u + 33.40
12.3 u + 51 = 16.70 u + 33.40
16.70 u - 12.3 u = 51 - 33.40
4.4 u = 17.60
1 u = 17.60 ÷ 4.4 = 4
Number of presents that she bought for her colleagues
= 1 u
= 4
Answer(s): 4
