solving an inverse variation problem, algebra homework help

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solving an inverse variation problem, algebra homework help

I have a problem that I solved, however, my teacher says, “Your answer is correct, but it would be nice to see the algebra involved in solving an inverse variation problem.”

This is the problem and my answer:

The time required to do a job varies inversely as the number of people working. It takes 5hr for 7 bricklayers to build a park well. How long will it take 10 bricklayers to complete the job?

5 x 7 = 35 hr.

35hr/ 10 = 3.5 hr.

Can you help me with this please?