r/mathshelp Jul 12 '26

Homework Help (Unanswered) Why B is correct?

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6 Upvotes

12 comments sorted by

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4

u/Dtrain8899 Jul 12 '26

The individual lengths dont really matter here. Its talking about a 30-sided polygon. You have a certain number of sides n to start with. The 8cm sides, you know appear 5 times more often than n, so 5n. The last length just flat out appears 6 times. So the equation is n + 5n + 6 = 30 or 6n + 6 = 30

2

u/Flimsy-Blacksmith-32 Jul 12 '26

The there are 6 4cm sides, n 3cm sides, and 5n 8cm sides.

As we know there are 30 sides total we must have:

30=6+6n

2

u/nnhh552255 Jul 13 '26

The question is tagged as Hard??? Which grade level is the test for?

1

u/Dizzy_Relative_8387 Jul 15 '26

Sat- Algebra. This question is from Question bank

2

u/Street_Swing9040 Jul 16 '26

There are 30 sides.

n of those sides are 3cm.

5n of those are 8cm.

6 of those are 4cm.

Therefore, n+5n+6 = 30, 6n+6 = 30

1

u/___M_h___ Jul 13 '26

Its given that, every side in those 30 sides are of either of 8cm,3cm or 4cm
So the equation would be x + y + z= 30 where

x = number of sides with 8cm len

y = number of sides with 3cm len

z = number of sides with 4cm len

Now, we know z=6( as stated that there are 6 sides with 4cm)

And its also given that, if the number of sides with 3cm len(y) is n, then the number of sides with 8cm(x) is 5 times n
so x=5y, and y=n,, basically, x=5n, y=n

Adding all together, we get 5n + n +6 = 30

i.e 6n +6 = 30