A Coffee company wants a new flavor of coffee. How many pounds of coffee worth $7.00 a pound should be added to 30 pounds of coffee worth $2 a pound to get a mixture worth $5 a pound?

Answer 1

Hi Liam, set up a table with the information given. Let x represent the amount of $7.00 coffee:

Item Amount Total

----------------------------------------

$7 x 7 * x

$2 30 2 * 30

$5 x + 30 5 * (x + 30)

The amount of $7 coffee plus the amount of $2 coffer must equal the amount of $5 coffee.

7 * x + 2 * 30 = 5 * (x + 30)

7x + 60 = 5x + 150

Subtract 60 from both sides:

7x = 5x + 90

Subtract 5x from both sides:

2x = 90

Divide both sides by 2:

x = 45

The coffee company needs to mix 45 pounds of $7 coffee with 30 pounds of $2 coffee to get 75 pounds of $5 coffee.

Questions?