Question

To make a batch of brownies,you use 2lbs flour.to make a batch of cupcakes,you use 1.5lbs of flour because the cupcakes are smaller. The bakery buys their flour from a small supplier in town and purchases 200lbs per day. The local supplier can only provide the bakery with 80lbs of frosting for the cupcakes. Each batch uses 4lbs of frosting

Write a inequality that models the amount of frosting available for cupcakes each day be sure to define your variables

Answer 1

inequality: x ≤ 20

x is defined below

Explanation:

Given:

- brownies use 2 lbs flour

- cupcakes use 1.5 lbs of flour

- total 200 lbs per day.

- 80 lbs of frosting (max)

- each 4 lbs of frosting

inequality: 4x ≤ 80

In words, 4lbs of frosting times how many cupcakes available for frosting is equal to or less than 80 as thats how the local supplier can provide the bakery with 80lbs of frosting for the cupcakes.

define your variables:

x is the possible amount of cupcake batches that can be made each day with the available amount of frosting

solving the inequality:

4x / 4 ≤ 80 / 4 divided both sides by 4 to get x alone

x ≤ 20

In words, no more than 20 batches of cupcakes can be made each day with the available amount of frosting