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Dmitriy789 [7]
3 years ago
13

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 ar

t 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 inequality.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

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

Let y = 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

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, the equation becomes

2x + 3.5y lesser than or equal to 42

This is shown in the attached photo

b) three different solutions to the inequality would be three different possible values that x and y can take. These are

x = 7 while y = 8

x = 10 while y = 6

x = 14 and y = 4

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