Question

Missy uses 1 hexagonal, 3 rectangular, and 4 triangular pieces of fabric to make 1 bug design for a quilt. If she uses 80 pieces in all to make bug designs, how many of each shape does she use?

Answer 1

Answer:10 hexagonal, 30 rectangular and 40 triangular pieces of fabrics

Step-by-step explanation:

This question is a ratio/proportion question

The ratio of hexagonal pieces use to rectangular pieces used and to triangular pieces used can be expressed as 1:3:4

Total pieces of fabrics used = 80

Total ratio = 1 + 3 + 4 = 8

We can calculate each ratio as a proportion of the total ratio

pieces of hexagonal used = (1/8) * 80 =10

Pieces of rectangular used = (3/8) * 80 =30

Pieces of triangular used = (4/8) * 80 = 40

And hence the pieces of each shapes used will be 10 hexagonal, 30 rectangular and 40 triangular pieces of fabrics

And the total number of bugs designs made = (80/8) = 10 (since it will require 8 pieces of fabrics(1 + 3 +4) to make a bug design)