It consumes

A textile machine uses 7/8 metres of fabric to sew a pair of shorts and 3/5 metres more fabric to sew a T-shirt. Determine whether 30 metres of fabric will be enough to sew 12 complete sets, where one set consists of one T-shirt and one pair of shorts.

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} k=\frac{7}{8}=0.875\text{m} \\ t=k+\frac{3}{5}=\frac{7}{8}+\frac{3}{5}=\frac{35}{40}+\frac{24}{40}=\frac{35+24}{40}=\frac{59}{40}=1\frac{19}{40}=1.475\text{m} \\ L=30\text{m} \\ d=t+k=\frac{59}{40}+\frac{7}{8}=\frac{59}{40}+\frac{35}{40}=\frac{59+35}{40}=\frac{94}{40}=\frac{47}{20}=2\frac{7}{20}=2.35\text{m} \\ A=12\cdot d=12\cdot \frac{47}{20}=\frac{12\cdot 47}{20}=\frac{564}{20}=\frac{141}{5}=28\frac{1}{5}=28.2\text{m} \\ A<L \\ x=1 \end{gathered}$$

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