Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books
2 answers:
Given:
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.
To Find:
A system of linear equations represents the situation.
Answer:
Step-by-step explanation:
We are given that x represents the number of fiction books and y is the number of non-fiction books.
We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write
Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write
So, the total system of equations can be represented as
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<em><u>Question:</u></em>
A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 per pound. He would like to purchase at least 30 pounds of nails total. Write a system of linear inequalities
<em><u>Answer:</u></em>
The system of linear inequalities are:
<em><u>Solution:</u></em>
Let "x" be the pounds of finishing nails
Let "y" be the pounds of common nails
Given that,
He would like to purchase at least 30 pounds of nails total.
"at least" means that he can purchase 30 pounds or more than 30 pounds also
So, we have to use "greater than or equal to" symbol
From given,
Cost of 1 pound of finishing nail = $ 0.45
Cost of 1 pound of common nail = $ 0.60
A contractor has at most $42 to spend on nails for a project
"at most" means he can spend 42 or less than 42
So we have to use " less than or equal to" symbol
Thus we frame a inequality as:
Thus the system of inequalities are: