question was too long to be posted in here

Question

a small candy store makes three types of party mixes. The first type contains 40% nonpareils and 60% peanut clusters, while the second type contains 30% peanut clusters and 70% chocolate-covered raisins. this third type consists of 30% nonpareils, 30% peanut clusters, and 40% chocolate-covered raisins. If the store has 100 pounds of nonpareils, 140 pounds of peanut clusters, and 160 ponds of chocolate-covered raisins available, how many pounds of each type of party mix should be made?

Answer 1

Say, pounds of party mix are as follows

First type.   = x lbs

Second type= y lbs

Third type =   z labs

 

As per data given, let us formulate equations

0.4x.       + 0.3z  =100

0.6x+0.3y+0.3z.  =140

       0.7y +0.4z.   =160

 

Solving all these three equations-----

x=(1000-3z)/4

 

y=(1600-4z)/7

 

6*(1000-3z)/4. + 3*(1600-4z)/7. +3z =1400

 

This gives----

 

z=244.4  labs

So, substituting back

x=66.7 labs

y=88.9. lbs 

Answer 2

I can get it to work if mixture 3 is 40% nonpareils, 30%peanut clusters, and 20% chocolate raisins. Otherwise the numbers are not pretty.