The number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
Mr. Abernathy bought a selection of wrenches for his shop and paid $78.
Let's suppose:
The number of $1.50 wrenches is x
The number of $2.50 wrenches is also x
The number of $4 wrenches is x/2
The number of $3 wrenches is 1+x/2
Then linear equation becomes:
[tex]\rm 1.50x+2.50x+\frac{4x}{2} +3(1+\frac{x}{2} ) = 78[/tex]
[tex]\rm 3x+5x+4x +3(2+x ) = 156[/tex]
15x = 150
x = 10
The value of x = 10
=x/2 ⇒ 10/ 2 ⇒ 5
= 1+x/2 ⇒ 1+5 ⇒ 6
Thus, the number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.
Learn more about the linear equation here:
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