Question

The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175. Use c for the number of code books and f for the number of flashlights. What is the equation of the second inequality? *

Answer 1

The second inequality is 2c + 5f ≤ 175

Explanation:

Given - The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175.

To find - What is the equation of the second inequality?

Proof -

Let us assume that,

The number of code books = c

The number of flashlights = f

So,

Given that, She needs at least 50 of a combination of code books and flashlights

⇒ c + f ≥ 50

Now,

Given that, Each code book costs $2 and each flashlight costs $5.

So,

Cost of c code books = 2c

Cost of f flashlight = 5f

And Given, The budget for escape room supplies is no more than $175.

⇒2c + 5f ≤ 175

∴ we get

The second inequality is 2c + 5f ≤ 175