wyatt drew a map of bartoon springs pool on the map 1/3 represents 15 yards. the actual length of the pool is about 333 yards. what is the lenght in inches of the pool on the map
x/333 = (1/3)/15
x = 333/45
1/3 what? inches? alligators?
333 yards * ( 1/3 alligator / 15 yards) = (333 / 45) alligators
To find the length of the pool on the map, we can set up a proportion using the given information.
Let's represent the length of the pool on the map as x inches.
We know that 1/3 represents 15 yards on the map. Since 1 yard is equal to 36 inches, 15 yards is equal to 15 * 36 = 540 inches.
So, our proportion will be:
1/3 = x/540
To solve for x, we can cross-multiply:
3x = 1 * 540
3x = 540
Now, divide both sides by 3 to solve for x:
x = 540 / 3
x = 180
Therefore, the length of the pool on the map is 180 inches.
To find the length of the pool on the map, we need to determine the scale first. The given information tells us that 1/3 of the actual length of the pool (333 yards) represents 15 yards on the map.
To calculate the scale, we can set up a proportion:
Actual length of the pool / Length of the pool on the map = Scale factor
Let's solve for the scale factor:
333 yards / Length of the pool on the map = 1/3 / 15 yards
We can simplify the right side of the equation by dividing the numerator and denominator by 3:
333 yards / Length of the pool on the map = 1 / (3 * 5) yards
Now, let's solve for the Length of the pool on the map:
Length of the pool on the map = (333 yards * (3 * 5)) / 1 yard
The "yard" unit cancels out, and we are left with:
Length of the pool on the map = 999 / 1
Therefore, the length of the pool on the map is 999 yards.