Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172. Also, Ben bought no more than 10 vases in all.

Which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that Ben could have bought?

Question

14-02-2021
Mathematics

contestada

Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172. Also, Ben bought no more than 10 vases in all.

Which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that Ben could have bought?

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joaobezerra joaobezerra · Answer 1 · 2022-05-30T11:01:08+02:00

The system of inequalities that can be used to determine the amounts is given by:

22x + 14y > 172.

x + y < 11.

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.

A system of inequalities works similarly to a system of equations, just the equality symbol is replaced by an inequality symbol(less, more, different,...).

In this problem, the variables are:

Variable x: Number of glass vases.

Variable y: Number of ceramic vases.

He bought glass vases that cost $22 each and ceramic vases that cost $14 each. The total cost of the vases came to more than $172, hence:

22x + 14y > 172.

Also, Ben bought no more than 10 vases in all, hence:

x + y < 11.

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

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