Petra can make 8 costumes with 12 yards of fabric
Given that Petra was given 12 yards of fabric to make costumes for the school play
Each costume requires [tex]1\frac{1}{2}[/tex] yards
To find: number of costume Petra can make
The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume
[tex]\text {number of costume Petra can make }=\frac{\text {total fabric she has }}{\text {fabric needed for one costume }}[/tex]
Total fabric she has = 12 yards
Fabric needed for 1 costume = [tex]1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2}[/tex] yards
Therefore,
[tex]\text {number of costume Petra can make }=\frac{12}{3 / 2}=\frac{12}{3} \times 2=8[/tex]
Thus petra can make 8 costumes with 12 yards of fabric