cost for each pound of jelly beans. cost for each pound of almonds

Question

A store is having a sale on jelly beans and almonds. For 9

 pounds of jelly beans and 7

 pounds of almonds, the total cost is $35

. For 3

 pounds of jelly beans and 5

 pounds of almonds, the total cost is $19

. Find the cost for each pound of jelly beans and each pound of almonds.

Answer 1

Let x $ per pound cost of jelly beans and y $ per poundprice of almonds.

we have system of equations:

9x + 7y = 35

3x + 5y = 19

Using elimination method: multiply second equation by -3:

9x+ 7y = 35

-9x - 15y = -57

Adding equations we get:

-8y = -22, y = 22/8 = 2.75;

from second equation

3x + 5•2.75 = 19;

3x = 5.25, x = 5.25/3 = 1.75

Answer: $1.75 per pound cost of jelly beans,$2.75 per pound cost of almonds