Question

A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish and stain. The cost of labor to the company is $36.00 each hour. Find the product 36\left(1\frac{6}{7}\ +\ 2\frac{1}{2}\right)36(1 7 6 ​ + 2 2 1 ​ ) using the distributive property. Describe what each individual term in the expression represents in the context of this situation after you distribute the 36, AND describe what the final result represents. Show your work, and explain

Answer 1

Answer: The total cost will be $156.85.

Step-by-step explanation:

Since we have given that

Time taken by labor to assemble the each skateboard is given by

$1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours$

Time taken by labor to finish and stain each skateboard is given by

$2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours$

Cost of labour to the company per hour = $36.00

According to question,

We will use "Distributive Property":

$a\times (b+c)=a\times b+a\times c$

$36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\ 156.85$

Hence, the total cost will be $156.85.