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
... [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 Tshirts
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 =
85,896 5 S = 17,179.20 To determine the amount of the boys salary, subtract $17,179.20
from $28,632. $28,632 - $17,179.20 = $11,452.80 Therefore, the girls salary is $17, 79.20
and the boys salary is $11,452.80. [Show Less]