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 1,250 more snowboarders bought season passes than skiers, how many snowboarders and how many skiers bought season passes
Let's represent the number of skiers who bought season passes as "x" and the number of snowboarders who bought season passes as "y".
According to the given information, the ratio of skiers to snowboarders who bought season passes is 1:2. This can be written as:
x:y = 1:2
It is also given that 1,250 more snowboarders bought season passes than skiers. This can be represented as:
y = x + 1,250
Now we can solve these two equations to find the values of x and y.
First, let's rewrite the ratio equation in terms of a common multiplier:
x:y = 1:2
2x:y = 1:2 * 2
2x:y = 2:4
Now, we can compare this ratio to the equation y = x + 1,250:
2x:y = 2:4
y = x + 1,250
Since the first equation has the same value of y in the numerator and denominator, we can equate the denominators:
4 = x + 1,250
Now, let's solve for x:
4 - 1,250 = x
-1,246 = x
So, the number of skiers who bought season passes is -1,246.
However, it is not possible to have a negative number of skiers, so there must be an error somewhere. Please double-check the given information and values.
If x were skiers, then
x+1250 = 2x