the ratio is 1:2 if 1250 more snowboarders bought season passes than skiers how many snowboarders and how many skiers bought season tickets

Sagot :

[tex]x-number\ of\ skiers\\\\x+1250-number\ of\ snowboarders\\\\\frac{x}{x+1250}=\frac{1}{2}\ \ \ \ \ \ \ \ |cross\ multiply\\\\2x=x+1250\ \ \ \ \ \ \ |subtract\ x\ from\ both\ sides\\\\\boxed{x=1250}\\\\Answer:\\1250-skiers\\1250+1250=2500-snowboarders[/tex]

The correct answer is:


1250 skiers and 2500 snowboarders.


Explanation:


The ratio is 1:2. We are told that more snowboarders buy season tickets than skiers; this means the ratio is skiers/snowboarders.


Let x be the number of skiers that bought season tickets. Since 1250 more snowboarders bought season tickets, this means the number of snowboarders would be represented by x+1250.


We can use the ratio to set up a proportion:


[tex] \frac{1}{2}=\frac{x}{x+1250} [/tex]


Cross-multiply:


(x+1250)(1) = x(2)

x+1250 = 2x


Subtract x from each side:

x+1250-x = 2x-x

1250 = x


This means the number of skiers is 1250.

The number of snowboarders would then be 1250+1250 = 2500.