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The math club has 57 members who are in sixth or seventh grades. There are twice as many sixth graders as seventh graders. How many sixth graders are in the club?

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Posted on May 01, 2014

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The math club has 57 members who are in sixth or seventh grades. There are twice as many sixth graders as seventh graders. How many sixth graders are in the club?


Assume that the letter "a" represents the number of 7th graders.
Since there are twice as many 6th graders we can call them "2a".
There are 57 total members, we can make the following statement:
2a + a = 57
We can simplify this to say 3a = 57.
Divide 57 by 3 = 19. (this is the value of "a")
There are 19 seventh graders and 19 x 2 sixth graders or 38.
38 + 19 = 57

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Find the three consecutive numbers? such that the smallest is 57 less than three times the largest


Let the three consecutive numbers be x, x+1, x+2.

Now, the smallest is 57 less than three times the largest...

=> x + 57 = 3(x + 2)
=> x + 57 = 3x + 6
=> 2x = 57 - 6
=> 2x = 51
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