white shapes and black shapes are used in a game. some of the shapes are circles. 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?
Answers
Find the equivalent ratio for the total shapes:
Total Black Shapes : Total White Shapes = 5 : 11
Multiply by 2:
Total Black Shapes: Total White Shapes = 10 : 22
Find the ratio for the white shapes:
White circles : White squares = 3 : 7
Sum of the units = 3 + 7
Sum of the units = 10
Find the equivalent ratio for the total shapes:
Black circles : Black squares = 3 : 8
Multiply by 2:
Black circles : Black squares = 6 : 16
Sum of the units = 6 + 16
Sum of the units = 22
Combine the ratios:
white circles : white squares : black circles : black square = 3 : 7 : 6 : 16
Circles = 3 + 6
Circles = 9 units
Total = 3 + 7 + 6 + 16
Total = 32 units
Find the fraction of all the shapes that are circles:
Fraction = 9/32
Answer: 9/32 of the shapes are circles
Answer: It is 9/32
Step-by-step explanation: