SOLUTION: well i have more than one question so i'm goign to posted them all #4.Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x

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Question 129753: well i have more than one question so i'm goign to posted them all
#4.Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25.
If x represents the smallest integer, then which equation could be used to solve the problem?
#5.The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?
#6.Separate 846 into 3 parts so that the second part is twice the first part and the third part is triple the second part.
Which of the following equations could be used to solve the problem?
#8."I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
#9.Solve this problem on paper using all four steps.
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?
They sold boxes the first week, boxes the second week, and boxes the third week.
#10.Solve this problem on paper using all four steps.
Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?
Julie weighs pounds, Ted weighs pounds, and Mike weighs pounds.
#11.Solve this problem on paper using all four steps.
Find four consecutive integers whose sum is 114.
The integers are , , , and .
#12.Solve the following problem. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Just so we understand each other right off the bat, I'm not going to do your entire homework assignment for you. I'll show you how to do a couple of these and you should be able to apply the same techniques to solve the rest of them.

#4: 3 consecutive odd integers. Let x be the first one, then the next one is x + 2, and the third one is x + 4. The largest plus two times the smallest is 25, so:

%28x%2B4%29%2B2x=25
3x%2B4=25
3x=21
x=7

So your odd integers are 7, 9, and 11.
Check: 11 + 14 = 25.

#6.Separate 846 into 3 parts so that the second part is twice the first part and the third part is triple the second part.

Let the first part be x. Then the second part has to be 2x, and the third part has to be 3(2x), or 6x. And the three parts add up to 846.

x+%2B+2x+%2B+6x+=+846
9x=846
x=94
So the three parts are 94, 188, and 564

Now it's your turn.