QNT 501 Final 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
... [Show More] value. 11 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. [Show Less]