Unit rate math problem

Question

Kenny can type 7/9 of a page in 3 minutes. how many pages can he type in 8.5 minutes?

Answer 1

1) The first step is to determine how many pages Kenny can type in 1 minute

7/9 page / 3 min

= 7/9 x 1/3 Dividing by 3 is the same as multiplying by 1/3

= 7 / 27 The common denominator is 7 so we can divide the top and bottom number by 7

= 1 / 9

Kenny can therefore type 1/9 of a page in 1 minute

2) The next step is determine how many pages Kenny can type in 8.5 min given than he can type 1/9 page in 1 min.

We can use a form of unit conversions to figure this out.

1/9 page

------------ × 8.5 min

1 min

We can cancel out the minutes unit since it appears in the numerator and denominator.

1/9 page

------------ × 8.5 min

1 min

We are then left with the units of pages.

3) We can then multiply 1/9 × 8.5

1/9 x 8.5 can be rewritten as 8.5 / 9

8.5 / 9 is about 0.944

Kenny can therefore type about 0.944 pages in 8.5 minutes.