Missy uses 1 hexagonal, 2 rectangular, and 4 triangular pieces of fabric to make 1 bug design for a quilt. If she uses 70 pieces in all to make bug designs, how many of each shape does she use?
According to the problem's info, we have:
(1 + 2 + 4)pieces of fabric = 1bug
(7)pieces of fabric = 1bug
so we know for each bug Missy uses 7 pieces of fabric (of different shapes).
Then, if she uses 70 pieces (710) of fabric, those are 10 bugs(110) built.
so we have to multiply by 10 the amount of pieces used in one bug:
hexagonal = 110 = 10
rectangular = 210 = 20
triangular = 4*10 = 40
which give us 70 pieces total.
10 hexagonal
20 rectangular
40 triangular
First add the 2+1+4=7
The divide 70 by 7 to get 10 the times each of the shapes by ten