Question

A store is having a sale on almonds and jelly beans. For 8 pounds of almonds and 3 pounds of jelly beans, the total cost is $23. For 2 pounds of almonds and

5 pounds of jelly beans, the total cost is $ 10. Find the cost for each pound of almonds and each pound of jelly beans.​

Answer 1

each pound of almounds cost $2.50 and jelly beans cost $1 a pound

Explanation:

1. 8x+3y=23

2. 2x+5y=10

2x+5y=10

-2x -2x

5y=-2x+10

divide both sides by 5

y= -.4x + 2 then plug this the new y value into the first equation

8x+3(-.4x+2)=23

8x -1.2x+6=23

6.8x+6=23

-6 -6

6.8x=17

divide both sides by 6.8

x=2.5

now plug x in for equation 1 or 2 i choose 2

2(2.5)+5y=10

5+5y=10

-5 -5

5y=5

y=1

x=2.5 y=1