Question

The Snack Shack at the local pool sells packages of licorice, taffy, and gumdrops. The manager placed an order for the candies. He ordered a total of 609 packages of candy. He ordered 3 times as many taffy packages as gumdrop packages. He ordered the same number of licorice packages as taffy packages.
How many licorice packages did the manager order?

Answer 1

Using a system of equations, it is found that the manager ordered 261 licorice packages.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables for this problem are given by:

• Variable x: number of taffy packages.

• Variable y: number of gumdrop packages.

• Variable z: number of licorice packages.

He ordered a total of 609 packages of candy, hence:

x + y + z = 609.

He ordered 3 times as many taffy packages as gumdrop packages. He ordered the same number of licorice packages as taffy packages, hence:

• x = z.

• x = z = 3y -> y = 0.3333z.

We have to solve the system for z, hence, replacing the data above in the first equation:

z + 0.3333z + z = 609.

2.3333z = 609.

z = 609/2.3333

z = 261.

The manager ordered 261 licorice packages.

More can be learned about a system of equations at https://brainly.com/question/24342899

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Answer 2

Answer:

261 licorice packages

Im too lazy to do step to step :/