SOLUTION: Im trying to figure out how to write the equation for the following problem: find three consecutive even intergers such that one-forth of the first and one-seventh of the second pl

Algebra.Com
Question 894700: Im trying to figure out how to write the equation for the following problem: find three consecutive even intergers such that one-forth of the first and one-seventh of the second plus one -half of the third is 13.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Im trying to figure out how to write the equation for the following problem: find three consecutive even intergers such that one-forth of the first and one-seventh of the second plus one -half of the third is 13.
-------
Note:: Even numbers are always a multiple of 2.
1st:: 2(x-1)
2nd:: 2(x)
3rd:: 2(x+1)
---------
Equation:
(1/4)2(x-1) + (1/7)(2x) + (1/2)2(x+1) = 13
-------
Multiply thru by 28 to get:
14(x-1) + 8(x) + 28(x+1) = 28*13
-----
14x - 14 + 8x + 28x + 28 = 28*13
------
50x + 14 = 28*13
------
50x = 350
x = 7
------
1st:: 2(x-1) = 12
2nd:: 14
3rd:: 16
-------------------
Cheers,
Stan H.
=====================
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Im trying to figure out how to write the equation for the following problem: find three consecutive even intergers such that one-forth of the first and one-seventh of the second plus one -half of the third is 13.


Let 1st integer be F

Then, 2nd and 3rd are: F + 2, and F + 4, respectively

So, 

This translates to: 

7F + 4(F + 2) + 14(F + 4) = 13(28)}}} ------ Multiplying by LCD, 28

7F + 4F + 8 + 14F + 56 = 364

Collect and combine like-terms, and solve to determine F, the 1st integer. Then find other 2 (2nd & 3rd)

Then do a check!! 



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL

MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,

GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/. 

RELATED QUESTIONS


Please help me to figure out this problem:

THis is how the word problem is written in... (answered by Alan3354,stanbon,oberobic)

I cannot figure out how to write the equation for this word problem.

"If the 1st and... (answered by josgarithmetic)

I've been having trouble trying to figure out this math problem. I'm really bad at math.
 (answered by scott8148)

find 4 consecutive intergers such that the sum of the first three exceeds the 4th by 18.   (answered by nerdybill,Mathtut,Alan3354)

Im not sure how to set up this problem, " Find two consecutive positive even intergers... (answered by ankor@dixie-net.com)

I've tried this problem for the last 10 minutes and cannot figure it out! Please help!... (answered by stanbon)

Find two consecutive even intergers such that the smaller added to three times the larger  (answered by algebrahouse.com)

Hello i need help. im not sure if i out it under the right topic
i have 3 problems i do... (answered by richwmiller)

Find 2 consecutive intergers such that the first less twice the second is equal to 98.     (answered by mananth,stanbon)