There were 54 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 5/6 of the remaining runners dropped out. How many runners finished the race?

6 runners finished the race

Step-by-step explanation:

Total number of runners = 54

In the first half of the race, 1/3 of them dropped out

= 1/3 of 54

= 1/3 * 54

= 54/3

= 18 runners

Runners remaining after first half = total runners - dropped out runners at first half

= 54 - 18

= 36 runners

In the second half of the race, 5/6 of the remaining runners dropped out

= 5/6 * 36

= (5*36)/6

= 180/6

= 30 runners

Runners remaining after second half = runners remaining after first half - dropped out runners at second half

=36 - 30

= 6 runners

Therefore, 6 runners finished the race

true? is that what you're asking or do you mean something else?

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!