Jake and his dad are making flags for a scouting project.They are going to make(6,12,18) flags . Each flag takes (2/3,3/4,5/6) of a yard of cloth. How many yards of cloth will they need in all?

Respuesta :

Answer:

The total yards of cloth needed for the flags = 28

Step-by-step explanation:

Given:

Jake and his dad are making (6,12,18) different types of flags.

Each flag takes [tex](\frac{2}{3},\frac{3}{4},\frac{5}{6})[/tex] of a yard of cloth.

To find the total yards of cloth needed in all.

Solution:

Flag A :

Each flag requires = [tex]\frac{2}{3}[/tex] of a yard of cloth

Total number of this flag = 6

Total cloth required for this flag = [tex]\frac{2}{3}\times 6 = 4\ yd[/tex]

Flag B:

Each flag requires = [tex]\frac{3}{4}[/tex] of a yard of cloth

Total number of this flag = 12

Total cloth required for this flag = [tex]\frac{3}{4}\times 12 = 9\ yd[/tex]

Flag C:

Each flag requires = [tex]\frac{5}{6}[/tex] of a yard of cloth

Total number of this flag = 18

Total cloth required for this flag = [tex]\frac{5}{6}\times 18 = 15\ yd[/tex]

Thus, total yards of cloth needed for the flags = [tex]4\ yd+9\ yd+15\ yd =28\ yd[/tex]