3. the speedy fast ski resort has started to keep track of the number of skiers and snowboarders who bought season passes. the ratio of the number of skiers who bought season passes to the number of snowboarders who bought season passes is 1:2. if 1250 more snowboarders bought season passer than skiers, how many snowboarders ams how many skiers bought season passes?

Answer :

You can set this up as an algebraic equation using the ratio:

[tex] \frac{1}{2} [/tex] = [tex] \frac{x}{x+1250} [/tex]
where x = number of skiers

Cross multiply:
x + 1250 = 2x

Solve for x:
-x = -1250

To find the number of snowboarders, add 1250.
1250 + 1250 = 2500

1250 skiers and 2500 snowboarders bought season passes.


The answer is; 1250 skiers  and 2500 snowboarders.

Step-by-step explanation:

The given ratio of 1:2 tells us that there is one skier to every two snow boarder.

Let the skier be represented by S.

Let the snowboarder be represented by B.

We can relate this condition as = 1:2 = S:B  

Or we can say that 2S = B

[tex]B -S= 1250[/tex]

=> [tex]2S-S =1250[/tex]  

S = 1250  

B = 2S = [tex]2(1250) =2500[/tex]

B = 2500

Answer is : 1250 skiers  and 2500 snowboarders.