Question

During one week, Rosa spends 21 7/12 hours reading or playing basketball. She reads 134 hours each day. How long does she play basketball each day.

Answer 1

Here we must work with algebra and mixed numbers to see how much time Rosa plays basketball each day. We will see that she plays basketball for (1 + 1/3) hours each day.

So we know that:

Per week ( 7 days) Rosa spends (21 + 7/12) hours reading or playing basketball.

We also know that she reads (1 + 3/4) hours per day.

Then in one week, she reads 7 times that amount, or:

7*(1 + 3/4) hours

We can write the mixed number as a single fraction:

7*(1 + 3/4) hours = 7*(4/4 + 3/4) hours = 7*(7/4) hours = (49/4) hours.

Then the total time in a week that she spends playing basketball is:

(21 + 7/12) hours - (49/4) hours

We can write the first one as a fraction:

(252/12 + 7/12) hours - (49/4) hours

(259/12) hours - (49/4) hours.

To perform the subtraction, both numbers must have the same denominator, then we multiply and divide the second fraction by 3:

(259/12) hours - (3/3)*(49/4) hours.

(259/12) hours - (147/12) hours = (112/12) hours

This in 7 days playing basketball, then if we want to see how much time she plays each day, we must divide that by 7:

((112/12) hours)/7 = (112/(7*12)) hours = (16/12) hours = (12/12 + 4/12) hours

= (1 + 1/3) hours

So each day she plays basketball for (1 + 1/3) hours

If you want to learn more about mixed numbers, you can read:

brainly.com/question/1746829