White shapes and black shapes are used in a game. some of the shapes a

1.	White shapes and black shapes are used in a game. some of the shapes are circles all the other shapes are squares.the ratio of the number of white shapes to the number of black shapes is 5:11 the ratio of the number of white circles to the number of white squares is 3:7 the ratio of the number of black circles to the number of black squares is 3:8 work out what fraction of all the shapes are circles. :)
Answer» $\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$ FRACTION of all the SHAPES are circles=9/32 $\huge\red{\underbrace{\overbrace{\ulcorner{\mid{\overline{\underline{EXPLANATION}}}}}}}$ ${\bf{\red{Find the equivalent ratio for the total shapes:}}}$ ${\bf{\green{total Black shapes: total white shapes}}}$ ${\bf{\green{=>5:11}}}$ ${\bf{\green{multiple by 2:}}}$ ${\bf{\green{=>10:22}}}$ ${\bf{\green{Ratio of the white shapes:}}}$ ${\bf{\green{White circles : white squares}}}$ ${\bf{\green{=>3:7}}}$ ${\bf{\green{sum of the units=3+7=>10}}}$ ${\bf{\pink{Find the equivalent ratio for the total shapes:}}}$ ${\bf{\blue{Black circles : Black squares }}}$ ${\bf{\blue{=>3:8}}}$ ${\bf{\blue{Multiple by 2:}}}$ ${\bf{\blue{=>6:16}}}$ ${\bf{\blue{sum of the units=6+16=>22}}}$ ${\bf{\green{Now combine the total ratios:}}}$ ${\bf{\orange{(white)circles:squares:(black)circles:squares}}}$ ${\bf{\orange{=>3:7:6:16}}}$ ${\bf{\orange{circles=3+6=>9 units}}}$ ${\bf{\orange{Total=3+7+6+16}}}$ ${\bf{\orange{Total=32 units}}}$ ${\bf{\blue{The fraction of all the shapes that are circles:}}}$ ${\bf{\red{Fraction=9/32}}}$