QNT 501 EXAM 7
1. Solve for the unknown in the equation. 11A = 77
Divide both sides of the equation by the known factor to isolate the unknown value. 11
... [Show More] A 11 = 77 11 Now simplify. A= 7 Check. 11(7) = 77 77 = 77 Therefore, the solution of the equation is 7.
2. Solve for the unknown in the equation. B + 5 = 21
Subtract the known value from both sides of the equation to isolate the unknown value. B + 5 (5) = 21 (5) Now simplify. B = 16 Check. 16 + 5 = 21 21 = 21 Therefore, the solution of the equation is 16.
3. Solve for the unknown in the equation. X 53 = 27
Add the known value to both sides of the equation. X 53 + (53) = 27 + (53) Now simplify. X = 80 Check. 80 53 = 27 27 = 27 Therefore, the solution of the equation is 80.
4. Solve for the unknown in the equation. 5(X - 4) = 25
Eliminate the parentheses. 5X 20 + (20) = 25 + (20) Now simplify. 5X = 45 Divide both sides of the equation by the known factor to isolate the unknown value. 5X 5 = 45 5 Now simplify. X=9 Check the solution by substituting the answer in the original equation and verifying that a true statement result. The answer checks, so the solution of the equation is 9.
5. Many plans to save 1 14 of this salary each week . If his weekly salary is $ 434, find the amount he will save each week
S= 1 1 ($31) S = $31 To check the solution, replace S with $31 and see if the sides are equal . ¿ $ 31 ¿ ? ¿ 1 ( $ 434 ) 14 ¿ $ 31 ¿ ? ¿ 1 ($ 434) 14 $31= $31 The answer checks Thus, Manny will save $31 each week.
6. Last week at a festival, a man sold 4 times as many tie dyed T- shirt as silk screened shirts. He sold 225 shirts altogether. How many tie-dyed shirts did he sell?
Both the number of tie-dyed T-shirts and silk screened shirts are unknown, but choose one, silk-screened shirts, to be represented by a letter, N. Since the number of tie-dyed shirts is 4 times the number silk-screened shirts, represent the number of tie-dyed T-shirts as 4N. Tie-dyed shirts plus silk screened shirts equals total shirts. Write this information in symbols. N + 4N = 225 Solve the equation. Combine addends. N + 4N = 225 5N = 225 Divide both sides by 5. 5N 5 = 225 5 N = 45 The solution is 45, which represents the number of silk-screened shirts, check the solution by replacing N with 45. 45 + 4(45) = 225 45 + 180 = 225 225 = 225 The sides are equal. Therefore, the number of silk-screened shirts is 45 and the number of tie-dyed shirts is 180
7. A man ordered 3 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.14 per box, and felt-tip pens cost $3.05. If the mans order of pens totaled $77.35, how many boxes of each type of pen did he buy?
15.47 N 15.47 = 77.35 15.47 N=5 The solution is 5, which represent the number of boxes of felt tip pens. Check the solution by replacing N with 5. 3.05(5) + (4.14 * 3(5) ) = 77.35 3.05(5) + 12.42(5) = 77.35 15.25 + 62.10 = 77.35 77.35 = 77.35 The sides are equal. Therefore, the man ordered 5 boxes of felt-tip pens and 15 boxes of ballpoint pens.
8. For 28 hours of work, you are paid $208.60. How much would you receive for 36 hours? Set up an equation for the problem.
The amount of money received for 28 hours of work is proportional to the amount of money received for 36 hours of work. $ 208.60 28 hour D dollars 36 hour = Solve the equation. 208.60 28 D 36 = 28 D = (208.60 * 36) Cross multiply. 28 D = 7,509.60 Multiply. Divide both sides by 28. 28D = 7,509.60 28 D 28 7,509.60 28 = D = 268.20 To check the solution, replace D with 268.20 and see if the sides are equal. 208.60 28 7.45 = 7.45 ¿ ? ¿ ¿ D 36 Divide. The solution checks . Therefore, you would receive $268.20 for 36 hours of work.
9. NA
10. Two part-time employees share one full time job. A girl works Mondays, Wednesdays, and Fridays, and a boy works Tuesdays and Thursdays. The job pays an annual salary of $28,632. What annual salary does each employee earn?
Many businesses related problems that involve pairs of numbers that are proportional are direct proportions. That an increases in the number that pairs with it..Or, a decrease in one amount causes a decrease in the second amount. In the given problem, the job pays an annual salary of $28,632. Two employees work 5 days. Let s equal the amount of the girls salary. The amount of the annual salary, $2,632, per 5 days in proportional to the amount of the girls salary per 3 day.. Set up a proportion. 5 3 = $ 28,632 S Solve the proportion. Cross multiply. 5 S = 3 (28,632) = 85,896 Divide both sides by 5. 5S 5 = [Show Less]