Question

A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and

3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5

Answer 1

Jellybeans are $2.25 per pound

Almonds are $1.25 per pound

Explanation:

Let x = jelly beans Let y = almonds

Equation 1

5x + 3y = 15

Equation 2

2x + 6y = 12

Multiply Equation 1 by negative 2 to give

-10x - 6y = -30

Add this to Equation 2 to eliminate y

-10x - 6y = -30 2x + 6y = 12

The y is eliminated leaving

-8x = -18

Divide both sides by negative 8 to give

x = 2.25

Substitute this value back into Equation 2 to solve for y

2x + 6y = 12 2(2.25) + 6y =12 . 4.50 + 6y = 12

Subtract 4.50 from both sides of the equation to give

6y = 7.50

Divide both sides by 6 to solve for y

y = 7.50/6

y= 1.25

Answer 2

Ratio: 2/23 : 1/x

x is $11.5

So 1 pound of jelly beans cost $11.5

3/17 : 1/x

x is 5.67

So 1 pound of almonds cost $5.67