Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes. Fabric costs $7.49 per yard. How much fabric does Mrs. Lin need?
Bear= 2 1/4 yards
Lion= 1 2/3 yards
Zebra= 2 5/8 yards

Respuesta :

Answer:

[tex]12\frac{1}{8}\ yd[/tex]

Step-by-step explanation:

we know that

The total fabric that Mrs. Lin needs is equal to

[tex]3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})[/tex]

Convert mixed number to an improper fraction

[tex]1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}[/tex]

[tex]2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}[/tex]

[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]

substitute

[tex]3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})[/tex]

[tex]5+\frac{21}{8}+\frac{9}{2}[/tex]

[tex]\frac{40+21+36}{8}=\frac{97}{8}\ yd[/tex]

Convert to mixed number

[tex]\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd[/tex]