Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 110975: The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each orange.

Sam invested a total of $10,000, part at 8% and the rest at 3%. How much was invested at 8% if he earned a total of $600 in one year? (Use the formula , Interest = principal * time * rate)
These are very confusing

Click here to see answer by scott8148(6628)

Question 111197: the greater of two consecutive integers is 15 more than twice the smaller. Find the integers.
Click here to see answer by solver91311(17077)

Question 111427: Find two consecutive odd integers whose product is 79 more than their sum.
Click here to see answer by jim_thompson5910(28717)

Question 111508: Three consecutive integers are such that the square of the third is 76
more thant the square of the second. Find the integers.

Click here to see answer by checkley71(8403)

Question 111630: There are 7 girls on a bus
Each girl has 7 backpacks
In each backpack, there are 7 big cats
For every big cat there are 7 little cats
Question: How many legs are there in the bus?

Click here to see answer by checkley71(8403)

Question 111734: Hi I have a couple of problems that I would like to know how to solve.
The involve the sum of two integers with a difference. You have to find the tow integers.
I have x + y = the sum
What do I do next?
Click here to see answer by checkley71(8403)

Question 111738: Hi I have a couple of problems that I would like to know how to solve.
The involve the sum of two integers with a difference. You have to find the tow integers.
I have x + y = the sum
What do I do next?
Okay Checkley, I solved that one. The problem was The sum of two numbers is 38. Their difference is 12. What are the two numbers.
I solved this by using the subtraction method after first setting up the problem.
x+y =38
x-y=12
Once I subtracted I got x = 26 and y = 12. Is that correct?
Click here to see answer by checkley71(8403)

Question 111747: Hi Checkley,
Are you still there? I have one more problem involving integers. This particular problem: The sume of the two integers and then the second is 8 more than 3 times the first.
So, I think that I should also set up this problem similar.
I worked it out and I know my answer was wrong.
Here is what I did.
The sume of two numbers is 76. The second is 8 more than 3 times the first.
What are the two numbers?
I put
x+y = 76
y= 3x+8
Is that correct? I am not certain how to deal with this problem correctly.
is there any way you can help me with this one.
Thank you Checkley.
Tracy
Click here to see answer by jim_thompson5910(28717)

Question 111737: Hi I have a couple of problems that I would like to know how to solve.
The involve the sum of two integers with a difference. You have to find the tow integers.
I have x + y = the sum
What do I do next?
Click here to see answer by checkley71(8403)

Question 111841: I am working on this problem. I am trying to set it up correctly.
The difference of two numbers is 48. The second is 8 less thatn 5 times the first. What are the two numbers.
First I tried to set up the problem like this:
x-y=48
y=5x-8.
Since this is a subtraction problem I am not sure how to solve.
Could anyone please help me.
Thank you,
tracy

Click here to see answer by jim_thompson5910(28717)

Question 111859: I am working on this problem. I am trying to set it up correctly.
Adult tickets to a play cost $13 and child tickets cost $10. If there were 22 people at a performance and the theater collected $277 from ticket sales, how many adults and how many children attended the play.
First,
x= Adult
y = child
x+y=22
13x + 10y=22
I am not certain if I should multiply the second equation by -10 so that I can use the addtion method.
What is the best way to solve this problem?
Thank you,
Tracy

Click here to see answer by jim_thompson5910(28717)

Question 111846: I am working on this problem. I am trying to set it up correctly.
The difference of two numbers is 48. The second is 8 less thatn 5 times the first. What are the two numbers.
First I tried to set up the problem like this:
x-y=48
y=5x-8.
Since this is a subtraction problem I am not sure how to solve.
Could anyone please help me.
Thank you,
tracy

Click here to see answer by scott8148(6628)

Question 111834: Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
Click here to see answer by ptaylor(2052)

Question 111888:
Could you please help me with this problem. Thanks in advance.

What is the remainder when 3 to the power 777777 is divided by 7.

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Question 111888:
Could you please help me with this problem. Thanks in advance.

What is the remainder when 3 to the power 777777 is divided by 7.

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Question 112004: Find two consecutive odd integers such that 5 times the first integer is 12 more then 3 times the second
Click here to see answer by jim_thompson5910(28717)

Question 112029: Could you please help me with this problem. Thanks in advance.
On an algebra test 39 more pupils passed than failed. On a new test,
7 who had passed the first test failed, and one third of those who
failed on the first test passed the second test. As a result, 31 more
passed the second test than failed it. What was the record of passing
and failing on the first test?

Click here to see answer by ankor@dixie-net.com(15746)

Question 112136: One number exceeds another by 5. One-fifth of their sum is five less than the smaller number. Find the number.
Click here to see answer by ptaylor(2052)

Question 112136: One number exceeds another by 5. One-fifth of their sum is five less than the smaller number. Find the number.
Click here to see answer by bucky(2189)

Question 112245: The difference of two problems is 33. The second is 7 less than 3 times the first. What are the two numbers?
Click here to see answer by jim_thompson5910(28717)

Question 112249: I need help on this word problem. Thank You in advance for your help.
Adult tickets for a play cost $8 and child tickets cost $1. If there were 22 people at a performance and the theater collected $50, how many children attended the play?
Click here to see answer by jim_thompson5910(28717)

Question 112370: Find three consecutive even integers such that the first plus twice the second plus four times the third equals 174
Click here to see answer by rajagopalan(158)

Question 112364: four fifths of a number added to one half the number is equal to the sum of one tenth of the number and 1. what is the number?
Click here to see answer by ptaylor(2052)

Question 112422: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers.
Click here to see answer by solver91311(17077)

Question 112425: A lot is in the shape of a right triangle. The shorter leg measures 120 meters. The hypotenuse is 40 meters longer than the length of the longer leg. How long is the longer leg?
Click here to see answer by solver91311(17077)

Question 112427: Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 11%. His total annual income from the two investments was $3990. How much was invested at 11%?
Click here to see answer by checkley71(8403)

Question 112424: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers.
Click here to see answer by checkley71(8403)

Question 112530: find three consecutive numbers such that twice the square of the first number is 38 more than the product of the other two numbers.
Click here to see answer by ilana(307)

Question 112530: find three consecutive numbers such that twice the square of the first number is 38 more than the product of the other two numbers.
Click here to see answer by checkley71(8403)

Question 112821: The sum of the lease and greatest of three consecutive odd numbers is 110. what are the integers
Click here to see answer by solver91311(17077)

Question 112904: The greatest of two consecutive integers is ten greater than twice the lesser. find the integers
Click here to see answer by checkley71(8403)

Question 112903: the sum of two numbers is 68. their differnce is 16. what are the numbers?
Click here to see answer by checkley71(8403)

Question 113002: If the larger of two numbers is four times the smaller and their difference is six, what is the larger number?
Click here to see answer by MathLover1(6812)

Question 113275: The product of two consecutive positive even integers is 360. Find the integers.
Click here to see answer by jim_thompson5910(28717)

Question 113284: Think of a number between 99 and 999. Consider the following: the number is less than 500; the number is a perfect square; it is a cube; the first and last digits of the number are 5, 7, or 9. If one statements above is false, find the number and tell why the statement you chose is not true.
Click here to see answer by MathLover1(6812)

Question 113366: Find three positive consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
Click here to see answer by checkley71(8403)

Question 113366: Find three positive consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
Click here to see answer by solver91311(17077)

Question 113427: Solve the following inequality. -3(x+5)>-2x+7
Click here to see answer by edjones(7569)

Question 113416: Twice the square of a positive integer is 12 more than 10 times that integer. What is the integer?
Click here to see answer by edjones(7569)

Question 113418: Factor. 4p^3-144pq^2
Click here to see answer by jim_thompson5910(28717)

Question 113432: The retail selling price of a sofa is $806.25. What is the cost to the dealer if she sells at 25% markup on the cost?

Click here to see answer by LuckyLep(3)

Question 113493: The product of two consecutive even intergers is 360. Find the intergers.
Click here to see answer by Adam(64)

Question 113493: The product of two consecutive even intergers is 360. Find the intergers.
Click here to see answer by MathLover1(6812)

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