Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Word Problems: Miscellaneous Word Problems

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Question 92812: A small copany produces both doll houses and sets of doll furniture. The doll houses take 3hrs of labor to produce, and the furniture sets take 8hrs. The labor available is limited to 400hrs per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequlities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(6693)

Question 92949: Find the GCF for 85, 136, and 170.
Click here to see answer by psbhowmick(456)

Question 92953: Enrique puts 12% of his monthly paycheck in an IRA. If he invests $72 in his IRA, how much was his paycheck?
Click here to see answer by tutorcecilia(2042)

Question 92964: The sum of two numbers is 80. The second is 8 more than 3 times the first. What are the two numbers?
Click here to see answer by checkley75(3666)

Question 93010: This is not from a book but I am having difficulties with this question.
The difference of two numbers is 27. The second is 1 less than 3 times the first. What are the two numbers?
Any explanation would be helpful. Thank you.
Click here to see answer by jim_thompson5910(13794)

Question 93094: In the Central Sierra Nevada of California, the percent of moisture that falls as snow rather than rain is approximated reasonably well by: P=86.3inH-680 where P is the percent of moisture as snow at an altitude of H feet. At what altitude is 50% of the moisture snow?
Click here to see answer by stanbon(26297)

Question 93156: Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.
Click here to see answer by checkley75(3666)

Question 93154: Find the GCF for 85, 136, and 170 show the factorizations
Click here to see answer by checkley75(3666)

Question 93172: A bill of $123 was paid with $5 and $1 coins, a total of 59 notes being used. how many $5 notes were used?
Click here to see answer by bucky(1732)

Question 93164: The US gross domestic product GDP in trillions of dollars is approximated by:
f(x)= -1.2155=3.7314 Lnx where x=5 corresponds to 1995. When will the GDP reach $12 Trillion?
Thanks in advance for your help
Sorry, this isn't from a text.
Click here to see answer by bucky(1732)

Question 93193: The decibel rating of a sound is given by: D(i)=10 times log{i/i
0}

where L is intensity of the sound and i0 is the minimum intensity detectable by the human ear. Find the decibel rating of eac of the following sounds:
Rock music 895,000,000,000 i0
Average sound level in the movie king kong 3,600,000,000 i0

Click here to see answer by stanbon(26297)

Question 93241: In 1980 the ratio of male students to female students at Frost College was 2 males to 3 females. Since then, the enrollment of male studnets in the college has increased by 400 and the enrollment of female students has remained the same. The ratio of ales to females is currently 1 to 1. How many students are currently enrolled at Frost College?
Click here to see answer by stanbon(26297)

Question 93136: susan liked her ceiling so much she decided to carpet her room.it measures 8ft,5ft,10ft,12ft. she found carpet she liked at $16.50 a square yard. how much will she have to payfor the carpet? i came up with $583.00 is that right im not sure
Click here to see answer by stanbon(26297)

Question 93349: John made a rectangular pen for his dog using 28 feet of fencing.
If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?
Click here to see answer by checkley75(3666)

Question 93380: john bought 100 animals for $100. He bought more than 70 baby chicks. 8 @ 1$. a certain amount of goats that are $10 each and a certain amount of ducks that are $1 each.......how many of each animal did he buy??

Click here to see answer by ankor@dixie-net.com(6693)

Question 93479: Gunther paid for 6 cds at a special 2for1 sale. The cd's that he got at the sale brought the total number of cd's in his collection to 42. How many cd's did he have before the sale?
I need to sole this problem and show the strategy that was used to solve it.
thanks

Click here to see answer by stanbon(26297)

Question 93567: A rectangle picture measures 12 inches by 15 inches. A border of uniform width is to be constructed around the outside of the picture so that the area of the border is the same as the area of the picture. What should be the width of the border?
Click here to see answer by checkley75(3666)

Question 93627: What is 50% of 86?
Click here to see answer by checkley75(3666)

Question 93610: If you were to throw an object straight up from a platform 50 feet high, at an initial velocity of 80 feet per second, the height of that object in feet above the ground t seconds after you released it would be described as follows:
Height = -16*t^2 + 80*t + 50
How high will tge object be 3.5 seconds after released?

Click here to see answer by ankor@dixie-net.com(6693)

Question 93658: Sorry this is not from a book.
Tickets for a play at the community theater cost $14 for and adult and $2 for a child. If 270 tickets were sold and the total receipts were $2340, how many of each type of ticket were sold?
I do not think I am setting the right equation. x + y + 270 = 2340 I am sure I am off because it does not look right. Any help in the right direction would be wonderful. Thanks....
Click here to see answer by stanbon(26297)

Question 93641: Officer Bob issued 41 parking tickets that totaled $655.00. How many $15 tickets and how many $20 tickets did he issue?
Click here to see answer by tutorcecilia(2042)

Question 93707: A cross country skier starts at a certain point and travels at a constant speed of 4 miles per hour. A snowmobile starts at the same point 45 minutes later, traveling at a constant speed and follows the skier's tracks. If the snowmobile catches up to the skier in 10 minutes, what is the speed of the snowmobile?
Click here to see answer by stanbon(26297)

Question 93713: A lodge paid $10,350 for tickets for it's x members to visit the state capitol. Find the cost of one ticket.
Click here to see answer by edjones(3299)

Question 93778: Look at the effects of growth hormone (gibberellic acid) on plant height with a 0.1 molar solution:
Acid Plant height in one week
20 ml 18.5 cm
30 ml 20.7 cm
40 ml 45.2 cm
50 ml 62.3 cm
60 ml 10.6 cm
What is the estimated plant height at 10 ml of acid?
What is the estimated plant height at 25 ml of acid?

Click here to see answer by Edwin McCravy(2922)

Question 93854: In an isosceles triangle, two sides are equal. The third side is 75% of the length of one of the equal sides. Find the length of each side when the perimeter is 165 cm.
Click here to see answer by checkley75(3666)

Question 93853: the perimeter of a rectangle is 50 m. the width of a triangle is 5 m less the the length. Find the length and width.
Click here to see answer by checkley75(3666)

Question 93861: Good Evening,
I have a word problem that I am not sure I solved correctly could you please tell me if this is correct?
The sum of two numbers is 43. The second is 1 more than 2 times the first. What are the two numbers?
I got 2x + y + 1 = 43 as the equation and x = 22 and y = 21. Is this correct or did I mess this up? Thanks for your help in advance.
Click here to see answer by stanbon(26297)

Question 93867: 5 less than 2/3 of a number is 2 more than the number. Find N.
Click here to see answer by stanbon(26297)

Question 93869: A camcorder that regularly sells for $ 900 is on sale for $ 750. What is the discount rate.
Click here to see answer by checkley75(3666)

Question 93869: A camcorder that regularly sells for $ 900 is on sale for $ 750. What is the discount rate.
Click here to see answer by stanbon(26297)

Question 93906: if 6 winkels and 3 wonkels cost the same as 9 wonkels and 3 winkels what would 100 wonkels cost

Click here to see answer by stanbon(26297)

Question 94087: Jay has three times as much as sue, and sue has $5 less than Larry. Together they have $135. How much money does each have?
Click here to see answer by checkley75(3666)

Question 94087: Jay has three times as much as sue, and sue has $5 less than Larry. Together they have $135. How much money does each have?
Click here to see answer by edjones(3299)

Question 94132: The revenue, in dollars, when x pairs of shoes are sold is given by 3x² -95. Find the revenue when 12 pairs of shoes are sold. What is the average revenue per pair of shoes?

Click here to see answer by checkley75(3666)

Question 94131: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w +13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?

Click here to see answer by checkley75(3666)

Question 94161: I am having a hard time putting this following problem into an equation and solving it. Not from textbook.
problem- Currently, Person A has $60 and Person B has $135. Person A decides to save $5 of his/her paycheck each week, while Person B decides to spend all of his/her paycheck and an additional $10 each week. How long will it be before Person A and Person B have the same amount of money?
Click here to see answer by Edwin McCravy(2922)

Question 94160: I am having a hard time putting this following problem into an equation and solving it.
problem- Currently, Person A has $60 and Person B has $135. Person A decides to save $5 of his/her paycheck each week, while Person B decides to spend all of his/her paycheck and an additional $10 each week. How long will it be before Person A and Person B have the same amount of money?
Click here to see answer by Edwin McCravy(2922)

Question 94276: A video game manufacturer is planning to market a 64-bit version of its game machine. The fixed costs are $285000 and the variable costs are $120 per machine. The wholesale price of the machine will be $130.
How many game machines must be sold for the company to break even?
Click here to see answer by stanbon(26297)

Question 94265: The price of an item is given by p = 2x² -100. Find the polynomial that represents the revenue generated from the sale of x items.
Click here to see answer by stanbon(26297)

Question 94255: A triangle has sides 3x +7, 4x - 9, and 5x +6. Find the polynomial that represents its perimeter.

Click here to see answer by stanbon(26297)

Question 94311: The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The above formula for the United States then becomes
P (in millions) =250 x 2 What will the population of the United States be in 2025 if this growth rate continues?

Click here to see answer by stanbon(26297)

Question 94308: If there are 6 x10^9 people on the Earth and there is enough freshwater to provide each person with 8.79 x10^5 L, how much freshwater is on the Earth?
Click here to see answer by stanbon(26297)

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