Question

Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequ

Answer 1

a) The inequality is 2x + 3.5y ≤ 42. b). The three different solutions to the inequality x = 7 and y = 8, x = 10 and y = 6, x = 14 and y = 4.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Let x  be the number of bottles of paint that Carmen can buy

Let y be the number of boxes of colored pencils that Carmen can buy

A bottle of paint costs = $2

A box of colored pencils costs = $3.50

She can spend no more than $42 on art supplies.

This means that she can buy bottles of paint worth 2 × x = $2x

She can buy boxes of colored pencils worth 3.5 × y = $3.5y

Since the total amount, she can spend cannot exceed $42,

Then, the equation becomes

2x + 3.5y ≤ 42

b) The three different solutions to the inequality would be three different possible values of x and y can take.

x = 7 and y = 8

x = 10 and y = 6

x = 14 and y = 4

Learn more about inequality ;

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