Question

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

Answer 1

The correct answer is:

1250 skiers and 2500 snowboarders.

Step-by-step 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:

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

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.

Answer 2

`x-number\ of\ skiers\\\\x+1250-number\ of\ snowboarders\\\\(x)/(x+1250)=(1)/(2)\ \ \ \ \ \ \ \ |cross\ multiply\\\\2x=x+1250\ \ \ \ \ \ \ |subtract\ x\ from\ both\ sides\\\\\boxed{x=1250}\\\\Answer:\\1250-skiers\\1250+1250=2500-snowboarders`