Gabby bought some gifts for her relatives at an average price of $13.40. If Gabby decided to buy a pen which cost $13 for her father and a bag which cost $32 for her mother, the average price of the gifts would become $14.70. How many gifts did Gabby buy for her relatives?
|
Relatives |
Relatives and parents |
Number |
1 u |
1 u + 2 |
Value |
13.40 |
14.70 |
Total Value |
13.40 u |
14.70 u + 29.40 |
Number of gifts that Gabby bought for her relatives = 1 u
Amount that Gabby spent on the gifts for her relatives
= 1 u x 13.40
= 13.40 u
Amount that $(Lizy) spent if she bought for her parents
= 13 + 32
= $45
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
= 14.70(1 u + 2)
= 14.70 u + 29.40
13.4 u + 45 = 14.70 u + 29.40
14.70 u - 13.4 u = 45 - 29.40
1.3 u = 15.60
1 u = 15.60 ÷ 1.3 = 12
Number of gifts that she bought for her relatives
= 1 u
= 12
Answer(s): 12