SOLUTION: If six widgets are valued at $15, and twenty widgets are valued at $22, how much are twenty five widgets worth?

Question 145771: If six widgets are valued at $15, and twenty widgets are valued at $22, how much are twenty five widgets worth?
Found 2 solutions by shahid, jojo14344:
Answer by shahid(44) (Show Source): You can put this solution on YOUR website!
in my view the solution to your problem may be obtained by finding the average price of one widget so
average price = (22+15)/26
= 37/26
so price of 25 = 25 x 37/26
= 35.576
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
In my opinion here, the more widgets you're getting, the lower the price for each. In the 1st situation, you had 6 widgets that cost $15. That's $2.50 each widget. In the 2nd situation, you had 20 widgets for only $22, that shows you're paying only $1.10 for each ($22/20).
You see the difference, you add on another 14 widgets (6+14=20), it only cost you $7 more.($15+$7=$22).
From that theory alone, 14 widgets = $7.00. Or $0.50/widget, Very good deal!
Based on that, 25 widgets will cost you $24.50.------ $22+(5pcs*$0.50/pc)
It make sense, the more you're getting, your cost is getting lower.
6 widgets = $15
20 widgets = $22
25 widgets = $24.50 (based on the calculation above)
Thank you,
Jojo
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