Xandra bought some gifts for her relatives at an average price of $13.50. If Xandra decided to buy a pen which cost $17 for her father and a bag which cost $34 for her mother, the average price of the gifts would become $14.10. How many gifts did Xandra buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.50 |
14.10 |
| Total Value |
13.50 u |
14.10 u + 28.20 |
Number of gifts that Xandra bought for her relatives = 1 u
Amount that Xandra spent on the gifts for her relatives
= 1 u x 13.50
= 13.50 u
Amount that $(Lizy) spent if she bought for her parents
= 17 + 34
= $51
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
= 14.10(1 u + 2)
= 14.10 u + 28.20
13.5 u + 51 = 14.10 u + 28.20
14.10 u - 13.5 u = 51 - 28.20
0.6 u = 22.80
1 u = 22.80 ÷ 0.6 = 38
Number of gifts that she bought for her relatives
= 1 u
= 38
Answer(s): 38
