Monique is making cookies for the pajama party at her house. She has 3-1/2 cups of sugar. The recipe calls for 3/4 cup of sugar for one batch of cookies. Write an equation that can be used to find c, the total number of batches of cookies she can make.
Dough + Heat = Cookie
3 - 1/2
To write an equation to find the total number of batches of cookies Monique can make, we need to compare the amount of sugar she has to the amount required per batch.
Let's assume c represents the total number of batches of cookies Monique can make.
The amount of sugar required for one batch is 3/4 cup. So, for c batches, the total amount of sugar needed can be calculated as (3/4) * c.
Given that Monique has 3-1/2 cups of sugar, we can set up the equation:
(3/4) * c = 3-1/2
To simplify the equation, we need to convert the mixed number (3-1/2) to an improper fraction. The mixed number can be written as 7/2.
(3/4) * c = 7/2
To solve for c, we can multiply both sides of the equation by the reciprocal of (3/4), which is (4/3).
(4/3) * (3/4) * c = (7/2) * (4/3)
c = (7/2) * (4/3)
Now, we can multiply the numerators and denominators:
c = (7 * 4) / (2 * 3)
c = 28/6
The fraction 28/6 can be simplified:
c = 4 + 2/6
So, the equation to find the total number of batches of cookies Monique can make is:
c = 4 + 2/6
Therefore, Monique can make 4 batches of cookies with an extra 2/6 of a batch.