Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1124565: Hi
700 marbles were shared among 4 boys. Bobby received 50% more than andrew. The remaining number of marbles was shared between jeff and simon in the ratio of 3:2. If simon received 40% of the number of marbles andrew received, how many did bobby and jeff received altogether.
Thanks
Click here to see answer by Boreal(15235)  |
Question 1124621: One pipe can fill a tank in 45 mins. and another pipe can fill it in 30 mins. If these two pipes are open and a third pipe is draining water from the tank, it takes 27 mins. to fill the tank. How long will it take the third pipe alone to empty a full tank?
Click here to see answer by ikleyn(52756)  |
Question 1124586: Ellen buys three paperback books and two hardcover books at a special event during which no sales tax is charged. Each paperback book costs one dollar less than half the cost of each hardcover book. The total for Ellen’s five books is $46. What is the cost of a paperback book
Click here to see answer by josgarithmetic(39614) |
Question 1124729: Hi
a big solid cube is made of 27 small cubes of edge 2cm. If the outer of the big cube were painted, find the total area of the painted surfaces of the small cubes that had been painted more than twice.
Thanks
Click here to see answer by ikleyn(52756)  |
Question 1124861: Benny and Jenny are identical twins. They are both the same height. Benny is standing 15 feet away from Jenny. He throws a ball to her and the highest height the ball reaches is 10 feet before she catches it. Sketch a graph and write an equation that models the path of the ball.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1125049: The interiors of all the unit squares of a 10 by 10 board are to be painted. Any two squares that have a side in common will be painted with a different color of paint. What is the least number of colors that will be needed?
Click here to see answer by ikleyn(52756)  |
Question 1125145: S is the sum of two numbers, and the larger is M times the smaller. Determine numbers.
Partial solution with problem:
X = smaller number.
MX = larger.
X + MX = S
X(1 + M) = S
X = S / (1 + M) I understand how this was solved for.
MX = MS /(1 + M)
I am not clear how the MX was solved for.
Non-homework.
Click here to see answer by ikleyn(52756)  |
Question 1125145: S is the sum of two numbers, and the larger is M times the smaller. Determine numbers.
Partial solution with problem:
X = smaller number.
MX = larger.
X + MX = S
X(1 + M) = S
X = S / (1 + M) I understand how this was solved for.
MX = MS /(1 + M)
I am not clear how the MX was solved for.
Non-homework.
Click here to see answer by MathTherapy(10549)  |
Question 1125270: Mrs. Mack teaches three art classes, each having 30 students. She has a supply of 150 sheets of special paper for an upcoming project. For the project, each student in each class will use one sheet of paper.
What fraction of the paper supply will be used by the three classes? The fraction in lowest terms.
Click here to see answer by josmiceli(19441)  |
Question 1125249: You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 34 cents per minute. The second plan charges a monthly fee of $19.95 plus 13 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
You would have to use more than
minutes in a month.
Begin by writing linear modeling functions for the cost C for each cell phone plan in terms of t minutes having the form
C = mt + b.
What is the interpretation of the point of intersection for the two modeling functions? If two functions have the same output C, what is a method for solving for the input t? Interpret the cost of each cell plan when t is greater than and when t is less than its intersection point value.
Click here to see answer by josgarithmetic(39614) |
Question 1125379: if i go up a flight of stairs two at a time i get to the top without any being left over.if i try three at a time and again five at a time i still go to the top without any being left over.find the shortest path of stairs for which this is possible. how many would remain if i would go up the flight seven at a time.
Click here to see answer by Theo(13342)  |
Question 1125427: A 5% solution of a certain type of medicine is to be diluted to a 1% solution. Determine amt. of water added.
5% solution = 5% medicine, 95% water.
1% solution = 1% medicine, 99% water.
Unsure how to proceed. Non-homework.
Click here to see answer by ikleyn(52756)  |
Question 1125405: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations.
a. Declare an appropriate variable for the number of carnations in the bouquet.
b. Use the variable from question A to write an expression for the number of roses in the bouquet.
c. Using variable from question A write an expression that represents the cost of purchasing the carnations.
D. Using your expression from question B write an expression that represents the cost of purchasing the roses.
E. Add the expressions from questions C and D and simplify. What does the resulting expression represent?
F. Suppose you are willing to spend $14.75. Write and solve an equation that can be used to determine the number of carnations that be included in a bouquet of 1 dozen flowers consisting of roses and carnations.
G. Based on your results from question F, how many carnations and roses are in 1 bouquet of 1 dozen flowers?
Click here to see answer by josgarithmetic(39614) |
Question 1125405: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations.
a. Declare an appropriate variable for the number of carnations in the bouquet.
b. Use the variable from question A to write an expression for the number of roses in the bouquet.
c. Using variable from question A write an expression that represents the cost of purchasing the carnations.
D. Using your expression from question B write an expression that represents the cost of purchasing the roses.
E. Add the expressions from questions C and D and simplify. What does the resulting expression represent?
F. Suppose you are willing to spend $14.75. Write and solve an equation that can be used to determine the number of carnations that be included in a bouquet of 1 dozen flowers consisting of roses and carnations.
G. Based on your results from question F, how many carnations and roses are in 1 bouquet of 1 dozen flowers?
Click here to see answer by greenestamps(13196)  |
Question 1125482: Show me how to break this down please.
29% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Click here to see answer by Boreal(15235)  |
Question 1125880: Lindsey went on a 58mile trip to a soccer game . On the way back, due to road construction she had to drive 29miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Work I have done:
Time=T
Rate= R
Miles= answer
RT=58
(R+29)(T+1)=58
So,
T=58/R
Plugged in
(R+29)*(58/R+1)=58
Click here to see answer by ikleyn(52756)  |
Question 1125879: A farmer Bought a number of pigs for $26. However 4 of them dies before he could sell the rest at a profit of 10 per pig. His total profit was $198. How many pigs did he originally buy?
The equation I came up with but when solved i do not get the correct answer:
N= number of pigs
P=price
np=216
(n-4)(p+10)=198
So ,
p=(216)/x
Plugged in
(n-4)*((216)/x+10)=198
Click here to see answer by solver91311(24713)  |
Question 1125879: A farmer Bought a number of pigs for $26. However 4 of them dies before he could sell the rest at a profit of 10 per pig. His total profit was $198. How many pigs did he originally buy?
The equation I came up with but when solved i do not get the correct answer:
N= number of pigs
P=price
np=216
(n-4)(p+10)=198
So ,
p=(216)/x
Plugged in
(n-4)*((216)/x+10)=198
Click here to see answer by ikleyn(52756)  |
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