MATH SOLVE

3 months ago

Q:
# I have 3 types of shapes: triangle, square or circle in the ratio 3:6:1. The triangles are either red or blue. The ratio of red triangles to blue triangles is 4:5. Given that I have 12 red triangles, how many circles are there

Accepted Solution

A:

ok first lets take care of the color

given that you have 12 red triangles and the ratio for red triangles to blue triangles is 4:5

if 12=4 than blue=5

12 times 5= 60

12 times 4 = 48

48 red and 60 blue = triangles

48+60=108

there are 108 triangles in total

now since the ratio for triangle square or circle is

for every 3 triangles there are 6 squares and for every six squares there is one circle

t3:s6:c1

since there are 108 triangles

108/3=36

since for every 3 triangles there are 6 squares

six times 36(amount of triangles/3)

6*36+=216

so there are 216 squares

now it says for every six squares there is one circle

therefor (the amount of squares)216/6+= 36

we are back to 36 and there are 36 circles

given that you have 12 red triangles and the ratio for red triangles to blue triangles is 4:5

if 12=4 than blue=5

12 times 5= 60

12 times 4 = 48

48 red and 60 blue = triangles

48+60=108

there are 108 triangles in total

now since the ratio for triangle square or circle is

for every 3 triangles there are 6 squares and for every six squares there is one circle

t3:s6:c1

since there are 108 triangles

108/3=36

since for every 3 triangles there are 6 squares

six times 36(amount of triangles/3)

6*36+=216

so there are 216 squares

now it says for every six squares there is one circle

therefor (the amount of squares)216/6+= 36

we are back to 36 and there are 36 circles