Question

A recipe for spaghetti sauce requires five 16-ounce bottles of ketchup to make 2 gallons of sauce. Let b represent the number of bottles of ketchup that are needed to make 16 gallons of sauce. Write a proportion, in terms of b, that can be used to solve for the number of bottles of ketchup that are needed to make 16 gallons of sauce.

Answer 1

To make 16 gallons of sauce, you would need 40 bottles of ketchup.

Step-by-step explanation:

To solve for the number of bottles of ketchup needed to make 16 gallons of sauce, we can use a proportion.

We know that to make 2 gallons of sauce, we need five 16-ounce bottles of ketchup. So, the proportion can be set up as:

5 bottles / 2 gallons = b bottles / 16 gallons

To find the value of b, we can cross-multiply and solve the equation:

5 * 16 = 2 * b

80 = 2b

b = 40

Therefore, to make 16 gallons of sauce, you would need 40 bottles of ketchup.