Question

Jill can answer 50 math questions every 20 minutes complete the table using equivalent ratios

Answer 1

The ratio we have is:

in 20 minutes, Jill can answer 50 questions, this is expressed in the division:

`(20)/(50)`

We need to find equivalent ratios to complete the table.

The first equivalent ratio we can find is dividing both numbers in the original ratio by 10:

`(20)/(50)=\frac{20\text{ /10}}{50\text{ /10}}=(2)/(5)`

20/50 is equivalent to 2/5.

Using the new ratio of 2/5, We can multiply to find the values on the table.

For the first row, we have to find the number of math questions that Jill answers in 12 minutes, so we multiply 2/5 by 6/6 as follows:

`(2)/(5)\cdot(6)/(6)=(12)/(30)`

As we can see, 2/5 is equivalent to 12/30. Thus, the first blank space is 30.

For the second row, we have to find the number of math questions that Jill answers in 36 minutes.

Going back to the ratio we just found 12/30, we can multiply it by 3/3 to find a new equivalent ratio that will help us answer:

`(12)/(30)\cdot(3)/(3)=(36)/(90)`

the ratio of 36/90 is an equivalent ratio. This means that the second blank space is 90.

Answer:

30 and 90.