Kylie bought some presents for her relatives at an average price of $12.80. If Kylie decided to buy a pen which cost $15 for her father and a bag which cost $43 for her mother, the average price of the presents would become $14.60. How many presents did Kylie buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
12.80 |
14.60 |
| Total Value |
12.80 u |
14.60 u + 29.20 |
Number of presents that Kylie bought for her relatives = 1 u
Amount that Kylie spent on the presents for her relatives
= 1 u x 12.80
= 12.80 u
Amount that $(Lizy) spent if she bought for her parents
= 15 + 43
= $58
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
= 14.60(1 u + 2)
= 14.60 u + 29.20
12.8 u + 58 = 14.60 u + 29.20
14.60 u - 12.8 u = 58 - 29.20
1.8 u = 28.80
1 u = 28.80 ÷ 1.8 = 16
Number of presents that she bought for her relatives
= 1 u
= 16
Answer(s): 16
