Manufacturer

A sporting goods manufacturer has 12 and 1/2 yd of fabric to make soccer shorts. Each pair of soccer shorts requires 2/7 yd of fabric. How many pairs of soccer shorts can be made?

Correct answer:

n =  43

Step-by-step explanation:

$$\begin{gathered} a=12\frac{1}{2}=12+\frac{1}{2}=\frac{12\cdot 2+1}{2}=\frac{24+1}{2}=\frac{25}{2}=12\frac{1}{2}=12.5\text{yd} \\ b=\frac{2}{7}\doteq 0.2857\text{yd} \\ {n}_1=a/b=\frac{25}{2}/\frac{2}{7}=\frac{25}{2}:\frac{2}{7}=\frac{25}{2}\cdot \frac{7}{2}=\frac{25\cdot 7}{2\cdot 2}=\frac{175}{4}=43.75 \\ n=\lfloor n_1\rfloor =\lfloor 43.75\rfloor =43 \end{gathered}$$

Try another example