ratio problem!!!

Question

if jimmy solves 5 problems per minute and the are 500 problems how long will it take him to finish

Answer 1

We know how many problems can solve PER minute.

We know how many problems there are ALL TOGETHER.

We don't know how many total minutes it will take Jimmy to complete the 500 questions.

Plug this into an equation.

y=mx

The y is the final amount. This is the end result. Our end result is 500 problems being solved.

The m is the rate at which the problems are being finished. 5 per minute.

We don't know how many minutes it will take Jimmy to complete the 500 problems.

500=5x

We need to get our missing variable (unknown number) alone.

In order to do that, we need to undo the action that connects our x to the 5.

We know that if there is no symbol or that a number and a variable are directly connected, the operation is multiplication. We need to UNDO that, so the opposite operation of multiplying by 5 is dividing by 5.

This is what it looks like now.

500/5=5x/5

(What we do to one side, we MUST do to the other.)

500/5=100

5x/5=x

We are left with

100=x

x equals the amount of minutes it will take Jimmy to finish the 500 problems,

Final answer, 100 minutes or an hour and a half.