Natalie bought some gifts for her cousins at an average price of $10.60. If Natalie decided to buy a pen which cost $13 for her father and a bag which cost $46 for her mother, the average price of the gifts would become $16.90. How many gifts did Natalie buy for her cousins?
| |
Cousins |
Cousins and parents |
| Number |
1 u |
1 u + 2 |
| Value |
10.60 |
16.90 |
| Total Value |
10.60 u |
16.90 u + 33.80 |
Number of gifts that Natalie bought for her cousins = 1 u
Amount that Natalie spent on the gifts for her cousins
= 1 u x 10.60
= 10.60 u
Amount that $(Lizy) spent if she bought for her parents
= 13 + 46
= $59
Total number of items bought if she bought for her parents and her cousins
= 1 u + 1 + 1
= 1 u + 2
Total amount that she spent if she bought for her parents and her cousins
= 16.90(1 u + 2)
= 16.90 u + 33.80
10.6 u + 59 = 16.90 u + 33.80
16.90 u - 10.6 u = 59 - 33.80
6.3 u = 25.20
1 u = 25.20 ÷ 6.3 = 4
Number of gifts that she bought for her cousins
= 1 u
= 4
Answer(s): 4
