Answer :
[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.
