A costume designer has 40 yards of red fabric to make costumes for a musical in which 8 performers will wear red dresses and 14 people will wear red scarves. The costume maker user 3 1/2 yds for each dress and 3/4 yard for a scarf.

38.5 yards used

Step-by-step explanation:

Yes he has enough fabric

to get the answer you must take the total number of dresses (8) and multiply it by 3 1/2 (3.5) because thats how much it takes to create one dress.

3.5 x 8 = 28

Now take the number of scarfs (14) and multiply it by 3/4 (0.75) because thats now much it takes to create a single scarf

0.75 x 14 = 10.5

now you add both of the answers

10.5 + 28 = 38.5

since 38.5 < 40 it means that he has enough fabric to create all the costumes for the musical