Write and solve an equation for the following word problem. Define your variable.
1 answer:
Answer:
The variable is the number of clothes sold 'x'.
The equation is:
The number of clothes sold by Lynn are 74.
Step-by-step explanation:
Let the number of pieces of clothes sold be 'x'.
Given:
Earning of Lynn per cloth is $0.25.
Fixed earning of Lynn per day is $100
Total earning after selling 'x' clothes is $118.50.
Variable: Number of clothes 'x'.
Equation:
Earning of Lynn for 1 cloth = $0.25
∴ Earning of Lynn for 'x' clothes =
Now, total earning of Lynn is the sum of fixed earning and earning from selling 'x' clothes. Therefore,
Total earning = Fixed earning + Earning for 'x' clothes
⇒
Solution:
Add -100 both sides and then divide the result by 0.25 both sides. This gives,
Therefore, the number of clothes sold by Lynn are 74.
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Answer:
9.)
10.)
11.) minutes of calling would make the two plans equal.
12.) Company B.
Step-by-step explanation:
Let <em>t</em> equal the total cost, and <em>m,</em> minutes.
Set up your models for questions 9 & 10 like this:
<em>total cost = (cost per minute)# of minutes + monthly fee</em>
Substitute your values for #9:
Substitute your values for #10:
__
To find how many minutes of calling would result in an equal total cost, we have to set the two models we just got equal to each other.
Let's subtract from both sides of the equation:
Subtract from both sides of the equation:
Divide by the coefficient of , in this case:
__
Let's substitute minutes into both of our original models from questions 9 & 10 to see which one the person should choose (the cheaper one).
Company A:
Multiply.
Add.
Company B:
Multiply.
Add.
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