Jason cycled for 3 hours. he cycled 7 1/2 miles each hour for the first two hours and the distance he cycled for the third hour was 1/4 of the total distance he cycled in 3 hours. what was the total distance jason cycled in 3 hours?

Total distance Jason cycled = 20 miles

Step-by-step explanation:

Distance covered in first 2 hours = 2( 7.5)

                                                         =15

Distance covered in the 3rd hour = 15/3                    

                                                                  = 5

Dividing by 3 because the distance covered in the 3rd hour is 1/4 of the distance covered in first two hours. By dividing by 3 we will get 1/4 of the distance

Total Distance =  Distance covered in first two hours

                             + Distance covered in  the 3rd hour                                                                                                                      

                             =15  + 5

Total Distance  = 20

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.