Trevor is making 2/3 of a recipe for chicken noodle soup. He adds 1/2 cup of chopped celery. The equation 2/3c = 1/2 can be used to find the number of cups c of chopped celery in the original recipe. How many cups of chopped celery does the original recipe call for?
To find the number of cups of chopped celery in the original recipe, we can use the equation 2/3c = 1/2. Here's how to solve it:
Step 1: Start with the equation 2/3c = 1/2.
Step 2: We want to isolate the variable c, so let's multiply both sides of the equation by the reciprocal (or multiplicative inverse) of 2/3, which is 3/2. This gives us:
(3/2)(2/3)c = (3/2)(1/2)
Simplifying, we get:
c = 3/4
Thus, the original recipe calls for 3/4 cup of chopped celery.