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# Question

# Answer

ChiefKiasu

Boy, this is a tricky question. Let me try to solve it in algebra.

Let S be the total number of Square buttons.

Let R be the total number of Round buttons.

Let B be the total number of Black buttons.

Let W be the total number of White buttons.

Firstly, we are given

(1) 3/7 S + 5/8 R = B

So this means that

(2) 4/7 S + 3/8 R = W

Now, we are given

(3) 3/7 S = 2 (5/8) R

Also, it is said that

(4) S = 598 + R

Substituting equation (4) into (3), we get

3/7 (598 + R) = (5/4) R

=> 598 + R = (7/3)(5/4)R

=> 598 + R = (35/12) R

=> 598 = (23/12) R

So, R = (12/23) 598 = 312

And S = 598 + 312 = 910

From equation (2), W = 4/7 S + 3/8 R

=> W = 4/7 (910) + 3/8 (312) = 520 + 117 = **637 #**

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