Name Date Pd PERCENT APPLICATION
Use your understanding of percentages to complete the table below. Be sure to show your work.
Unit: Percents Homework 4
PROBLEM
PROPORTION
WORK AND SOLUTION
1. Francis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of the stereo?
2. Mr. Robins earns a commission on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr. Robins’ commission rate?
3. The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
4. Winter coats are marked
st
70% off on February 1 . If a
coat costs $57.75 on January 31st, how much will it cost on February 1st?
Answer the multiple choice question below.
5. At West Middle School, there are 420 students who eat lunch. The school lunch line always offers pizza on Friday’s. If 65% of students purchase pizza on Friday, then how many pizza lunches were purchased?
A. 273 B. 147 C. 83 D. 129
©Maneuvering the Middle LLC, 2016

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

18.8cm hope i at all

step-by-step explanation: