Victoria bought some gifts for her relatives at an average price of $13.80. If Victoria decided to buy a pen which cost $19 for her father and a bag which cost $31 for her mother, the average price of the gifts would become $16.60. How many gifts did Victoria buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.80 |
16.60 |
| Total Value |
13.80 u |
16.60 u + 33.20 |
Number of gifts that Victoria bought for her relatives = 1 u
Amount that Victoria spent on the gifts for her relatives
= 1 u x 13.80
= 13.80 u
Amount that $(Lizy) spent if she bought for her parents
= 19 + 31
= $50
Total number of items bought if she bought for her parents and her relatives
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her relatives
= 16.60(1 u + 2)
= 16.60 u + 33.20
13.8 u + 50 = 16.60 u + 33.20
16.60 u - 13.8 u = 50 - 33.20
2.8 u = 16.80
1 u = 16.80 ÷ 2.8 = 6
Number of gifts that she bought for her relatives
= 1 u
= 6
Answer(s): 6
