They made profit of [tex]\$834.10[/tex] by selling 190 kg of taffy in 400 g bags at rate of [tex]\$3.28[/tex] each.
Solution:
Given that
To raise money, the Boy Scouts bought 190 kg of taffy for [tex]\$723.90[/tex].
They sold the tafty in 400 g bags for [tex]\$3.28\text{ each }[/tex]
Need to calculate the profit the made.
Cost price of 190 kg of taffy = [tex]\$723.90[/tex]
As 1 kg = 1000 gram,
So 190 kg of taffy = [tex]190\times 1000 = 190000\text{ grams of taffy }[/tex]
So cost price of 190000 gram of taffy = [tex]\$723.90[/tex]
Now let us calculate number of 400 grams bags which can be made from 190000 grams of taffy
Number of 400 grams bags = [tex]\frac{190000}{400}=475 \text { bags }[/tex]
Amount generated from 1 bag of 400 gram taffy = 3.28
So amount generated from 475 bags of taffy = [tex]475\times3.28 = \$1558[/tex]
Selling price of 190000 grams of taffy = amount generated from 475 bags of taffy = [tex]\$1558[/tex]
[tex]\text{ Profit }= \text{ selling price }-\text{ cost price }= 1558-723.90 = \$834.10[/tex]
Hence they made profit of [tex]\$834.10[/tex] by selling 190 kg of taffy in 400 g bags at rate of [tex]\$3.28[/tex]
