Diana bought some gifts for her relatives at an average price of $11.40. If Diana 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 $15.10. How many gifts did Diana buy for her relatives?
| |
Relatives |
Relatives and parents |
| Number |
1 u |
1 u + 2 |
| Value |
11.40 |
15.10 |
| Total Value |
11.40 u |
15.10 u + 30.20 |
Number of gifts that Diana bought for her relatives = 1 u
Amount that Diana spent on the gifts for her relatives
= 1 u x 11.40
= 11.40 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
= 15.10(1 u + 2)
= 15.10 u + 30.20
11.4 u + 45 = 15.10 u + 30.20
15.10 u - 11.4 u = 45 - 30.20
3.7 u = 14.80
1 u = 14.80 ÷ 3.7 = 4
Number of gifts that she bought for her relatives
= 1 u
= 4
Answer(s): 4
