Anna bought some gifts for her relatives at an average price of $13.90. If Anna decided to buy a pen which cost $18 for her father and a bag which cost $49 for her mother, the average price of the gifts would become $14.70. How many gifts did Anna buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
13.90 |
14.70 |
| Total Value |
13.90 u |
14.70 u + 29.40 |
Number of gifts that Anna bought for her relatives = 1 u
Amount that Anna spent on the gifts for her relatives
= 1 u x 13.90
= 13.90 u
Amount that $(Lizy) spent if she bought for her parents
= 18 + 49
= $67
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
13.9 u + 67 = 14.70 u + 29.40
14.70 u - 13.9 u = 67 - 29.40
0.8 u = 37.60
1 u = 37.60 ÷ 0.8 = 47
Number of gifts that she bought for her relatives
= 1 u
= 47
Answer(s): 47
