find the cost

Question

A store is having a sale on trail mix and jelly beans. For
3
pounds of trail mix and
5
pounds of jelly beans, the total cost is
$22
. For
12
pounds of trail mix and
2
pounds of jelly beans, the total cost is
$25
. Find the cost for each pound of trail mix and each pound of jelly beans.

Answer 1

Lexi,

 

Let $t be the cost of trail mix per pound and $j be the cost of jelly beans per pound

 

So 3*t + 5*j = 22

 

Also 12*t + 2*j = 25

 

Multiply eq 1 by 4

 

12*t + 20*j = 88

 

Subtract eq. 2 from eq 3

 

18*j = 63

j = 3.5

 

Substitute for j in eq 1

3*t + 5*3.5 = 22

t = 1.5

 

So trail mix is $1.5 per lb and Jelly Beans is $3.5 per lb