Questions on Word Problems: Problems on percentages, ratios, and fractions answered by real tutors!

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Question 167511: Hello here is a word problem:
Due to melting, an ice sculpture loses one-half its weight every hour. After 8 hours, it weights 5/16 of a pound. How much did it weigh in the beginning?
I know the answer is 80lb but don't understand how to set the problem up.
Thank you for helping.
Click here to see answer by Mathtut(3670)

Question 167620: Use the percent of sales method to forecast next years accounts payable. Current year sale are $24,500,000 and sales are expected to rise by 25%.
The firms accounts payable balance is $1,701,600. What is the projection for next years accounts payable?
A. 1,000,600
B. 2,127,000
C. 3,981,250
D. 6,125,000
Click here to see answer by gonzo(654)

Question 167629: A car is marked up 50% from its wholesale price. During a sale, the retail price is reduced by 20%. What percent higher is the sale price than the wholesale price?
Click here to see answer by gonzo(654)

Question 167646: Solve for m using just the meaning of multiplication and reasoning (no algebraic manipulation)
a) 15 X 13= 9 X 13 + m X 13
b) 16m=8m+32
Click here to see answer by checkley77(12569)

Question 167665: How many cubic centimeters of pure hydrochloric acid should be added to 20cc of a 30% solution of hydrochloric acid to obtain a 50% solution?
Click here to see answer by nerdybill(6958)

Question 168049: Twice the difference of 2 numbers is 10. The greater number is 20 less than twice the smaller. Find the numbers.
Click here to see answer by ankor@dixie-net.com(15649)

Question 168184: i would really appreciate help on this problem. thank you.
The cost to fix your car was $235.75 for labor and $132.12 for parts. your friend however said he can fix your car for a total of $342.25.
what is the ratio of the labor to the total cost?
i will be very grateful for your help. thank you
Click here to see answer by stanbon(57307)

Question 168201: i would really appreciate help on this problem i have on my homework.
The cost to fix your car was $235.75 for labor and $132.12 for parts. your friend however said he can fix your car for a total of $342.25.
what is the percent increase or decrease if your friend fixed your car? specify increase or decrease.

Click here to see answer by checkley77(12569)

Question 168099: cowling's rule is another method for determining the dosage of a drug to prescribe to a child. for this rule, the formula:
d=D(a+1)
24
Gives the child’s dosage d, where D is the adult dosage and a is the age of the child in years. If the adult dosage of a drug is 600 milligrams and a doctors uses this formula to determine that a child’s dosage is 200 milligrams, then how old is the child?

Click here to see answer by hobbitt(2)

Question 168329: a mathematics intructor asserted that students test grades are directly proportional to the amount of time spent studying. brent studies 15 hr. for a particular test and gets a score of 85. at this rate, what score would ha have recieved if he had studied 16hr.?

Click here to see answer by Mathtut(3670)

Question 168365: the length of a certain rectangle is 4 cm longer than its width. if the width were increased by 6cm and the length were doubled, the new perimter would be twice the perimter of the original rectangle. find the dimensions of the orginal rectangle.
please send me the formula so i can figure it out
thank you
Click here to see answer by ankor@dixie-net.com(15649)

Question 168544: The profits for a partnership in the previous year were $160,000. There were two partners who shared the profits in the ratio of 5:4. Find the amount of profit each received.
Click here to see answer by Mathtut(3670)

Question 168546: An employee who was earning $13.00 an hour, received a 5% raise. Find the increase in the employee's hourly wage.
Click here to see answer by Mathtut(3670)

Question 168542: In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or ahe got 300 hits in 1000 at bats. In order to have an average of .300, how many hits would the batter have to get in 400 times at bat?
Click here to see answer by Mathtut(3670)

Question 168571: A manufacturer of furniture increased its monthly output of 500 chairs by 20%. What is the amount of increase.
Click here to see answer by gonzo(654)

Question 168570: A company employs 500 people. Due to an increase in business, the company had to hire an additional 10%. What is the total number of employees needed?
Click here to see answer by Mathtut(3670)

Question 168736: A company collects 60% of its sales during the month of sale, 30% one month after the same and 10% two months after the sale. Expected sales are: $10,000 in August, $12,000 in September, $30,000 in October, and $40,000 in November. How much cash is expected to be collected in October?
A)$15,000
B)$25,000
C)$35,000
D)$60,000

Click here to see answer by Mathtut(3670)

Question 168775: The list price of a sewing machine is $160.00. The store is offering a 40% discount. Find the complement of te discount rate and the net price of the sewing machine.
Click here to see answer by Mathtut(3670)

Question 168780: The list price of a jet ski is $3,800.00 with a series discount of 20/10. Find the amount of the second trade discount.
Click here to see answer by Mathtut(3670)

Question 168781: Find the decimal equivalent of the new price for a 40/15/5 series trade discount.
Click here to see answer by Mathtut(3670)

Question 168781: Find the decimal equivalent of the new price for a 40/15/5 series trade discount.
Click here to see answer by gonzo(654)

Question 168778: The list price of a DVD player is $300.00. Find the net price of two DVD players if a wholesaler receives a 20% discount.
Click here to see answer by Mathtut(3670)

Question 168773: Find the complement of 35% discount rate. Express the complement as a percentage and a decimal.
Click here to see answer by Mathtut(3670)

Question 168790: The list price for a wintersoat ia $300.00. A series discount of 20/15/5 is being offered fo any orders above $9000.00. Find the discount and the net price of an order of 40 coats.
Click here to see answer by Mathtut(3670)

Question 168791: An invoice for $8,500.00 is dated June 4; the terms are 5/15, n/30. Find the discount if the invoice is paid within nine days of the invoice date.
Click here to see answer by Mathtut(3670)

Question 168789: Find the single-discount equivalent of a 40/30/10 seres discount. Express the discount as a percentage and as a decimal.
Click here to see answer by Mathtut(3670)

Question 168819: A drum of water is 3/5 of full.when 38liters are drawn from it.it is just i/8 full.The half capacity of drum in liters is
Click here to see answer by gonzo(654)

Question 168832: Problem # 1. A Macy's sweater was reduced $30. The sale price was $90. What was the original price?
Problem # 2. Tom bugdets 1/8 of his yearly salary for entertainment. Tom's total entertainment bill for the year is $6,500. What is Tom's yearly salary?
Please help with these problems. I can't figure them out since there are not three figures to work with. I can usually solve for x when there are three figures to work with, but this is throwing me off track.
Thanks,
Ethel
Click here to see answer by stanbon(57307)

Question 168946: a student takes a 10 question mutiple choice quiz with 5 choices for each question, find the probility of guessing at least 7 correct out of 10
Click here to see answer by josmiceli(9669)

Question 168962: A traffic light flashes red for 50 seconds, yellow for 5 seconds, and green for 65 seconds.
For what fraction of a 24-hour day is the traffic light yellow? Leave answer in lowest terms.

Click here to see answer by stanbon(57307)

Question 169045: Mr. Key has 50 liters of a 70% ethyl alcohol solution. How many liters of pure ethyl alcohol must be added to obtain an 80% ethyl alcohol solution? How many liters of each solution did he have? I am stumped. Please explain how I put into a chart and how I can get the answer. I appreciate your help.
Click here to see answer by Earlsdon(6287)

Question 169042: A farmer sold bushels of wheat and bushels of oats. For 425 bushels, he received $481.58. How many bushels of each did he sell, if he received $2.08 per bushel of wheat and $.94 per bushel of oats? Please help! I cannot figure out how to attack this and put it in a chart showing my work. Thanks a bushel!
Click here to see answer by scott8148(6628)

Question 169040: A beaker contains 400L of a solution that is 32% acid. How much water should be added to make a solution that is 25% acid? I need help in organizing a chart showing how I got my answer. Thank you.
Click here to see answer by checkley77(12569)

Question 169105: A file cabinet that normally sells for 3995 pesos is on sale for 20% off.Find the sale price.
Click here to see answer by nerdybill(6958)

Question 169194: Someone please help me with the following problem:
Suppose $5000 is invested at interest rate k, compounded continuously and grows to $6954.84 in 6 years.
(a) Find the interest rate

(b) Find the exponential growth function

(c) Find the balance after 10 years

(d) Find the doubling time

Thanks.

Click here to see answer by ankor@dixie-net.com(15649)

Question 169270: what number is 20% of 24
Click here to see answer by Mathtut(3670)

Question 169295: Susan is planning on investing her $1,600 bonus, putting some in an account earning 6% and the rest in an account earning 8%. How much should she put in each to have a total of $104 interest?
Click here to see answer by Mathtut(3670)

Question 169601: Mr. Hernandez had to interview a totla of 63 households in his assignment. He has already finishd 28.
what percentage of the households in his assignments has he finished? (round to the nearest 10th)
The answer given was 44.4%, but how did they come to this. I thank you for assisting me in showing me step by step how this came to be the answer.
Click here to see answer by checkley77(12569)

Question 169560: I thank you in advance for your assistance. I have not done any problems in a while! the problem is:
Mr. Jones had to interview a total of 63 households in his assignment. He has already finished 28. what percentage of the households in his assignments has he finished? (round to the nearest tenth of a percent)
Click here to see answer by elima(1433)

Question 169772: A glass manufactuer produces 1200 glasses a week. if these, 2 1/3% are defective and 4 1/3% are damaged in packaging. how many undamaged and nondefective glasses are shipped each week?

Click here to see answer by solver91311(16877)

Question 170123: A plumber needs four sections of pipe 2 7/8 feet long. Can this be cut from a 12-foot section? If so, how much pipe will be left over? If not, why not?
Click here to see answer by stanbon(57307)

Question 170225: Slick jim won the lottery.he spent Two thirds of his winnings on a very posh house.he spent two thirds of what he had left on a luxury yacht. Then he spent two thirds of what he had left on a hot air balloon. He spent his last £20000 on a flashy car. How much did Slick Jim win on the lottery? many thanks,dj.
Click here to see answer by ptaylor(2048)

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