Answer to Question #162701 in Algebra for Sanae

Question

If the pattern below were tripled, what would be the ratio of black squares to gray squares?

Answer 1

number of black squares = 3

number of gray squares = 6

the ratio of the black squares to the gray squares is $=\frac{3}{6}=\frac{1}{2}$

on tripling the pattern,

number of black squares = 3*3 = 9

number of gray squares = 6*3 = 18

the ratio of the black squares and gray squares is = $\frac {9}{18}$ = $\frac{1}{2}$

the ratio is same on tripling the pattern and equal to 1/2 .