5. Consider the diagram below. Solve for x.
2 answers:
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Answer:
See below.
Step-by-step explanation:
So, we know that Noah's purchase can be modeled by the equation:
Part 1)
The solution to the equation will be the value of x.
In this case, x will represent the original price of the jeans.
We know that Noah has a coupon for 10% off the <em>original price of the jeans</em>.
So, 0.1x will represent how much of the original price Noah gets a a discount on.
Therefore, (x - 0.1x) represents the total cost of the jeans <em>after</em> the coupon.
So, x is our original price of the jeans.
Part 2)
To verify that 70 is <em>not</em> a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:
Multiply:
Subtract:
Add:
However, we <em>can</em> verify that 60 <em>is</em> the solution by substituting. So, substitute 60 for every x:
Multiply:
Subtract:
Add:
So, 60 is indeed the solution and is the value of x.
So, this means that $60 was the original price of the jeans.