A store having on almonds and jelly beans. For 2 pounds of almonds and 12 pounds of jelly beans, the total cost is $45 For 5 pounds of almonds 3 pounds of jelly beans , the total cost is $18. Find the cost for each pound of almonds and each pound of jelly beans.

3.50 per almonds

1.50 jelly beans

Step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is