A baker used 16 pounds of flour and 12 cups of sugar to make several batches of cookies. the baker used the same amount of flour and sugar in each batch of cookies. what is the number of batches the baker could have made with his flour and sugar?
this is all the question.... i have no idea where to begin
with this question.. only respond if you can help!!
He could have made 8 batches or 16 batches or 32 batches or 48 batches.
can you explain...
He uses 4 parts flour to three parts sugar.
If each batch contained 1 pound of flour and 3/4 pound sugar, then he could make 16 batches. But if each batch contained 2 pounds of flour and 1 1/2 pounds of sugar then, he made 8 batches.
If he made a small batch with 1/2 pound of flour and 3/8 pound sugar, he be able to make 32 batches.
OMG thank you so much for your help!!!
thank you!
You're welcome.
Btw -- if he's a commercial baker, maybe he only made one batch. <g>
Of course, I can help you with this question! To determine the number of batches the baker could have made, we need to find out how many batches can be made with 16 pounds of flour and 12 cups of sugar.
To find the number of batches, we first need to know the amount of flour and sugar used in each batch of cookies. Since the baker used the same amount of flour and sugar in each batch, we need to find the common amount used.
Let's say x pounds of flour and x cups of sugar were used in each batch. Since the baker used 16 pounds of flour, the number of batches can be calculated by dividing the total amount of flour (16 pounds) by the amount used in each batch (x pounds). Similarly, we can calculate the number of batches using the amount of sugar.
To calculate x, we need to use a common denominator for pounds and cups. Let's convert 12 cups of sugar to pounds. Since there are 16 cups in 1 pound, by dividing 12 cups by 16 cups/pound, we get 0.75 pounds.
Now, we can equate the amount of flour used and the amount of sugar used in each batch:
x pounds of flour = 16 pounds
x cups of sugar = 0.75 pounds
To convert cups of sugar to pounds, we can multiply by the conversion factor of 1 pound equals 16 cups. This gives us:
x pounds of flour = 16 pounds
x pounds of sugar = 0.75 pounds * (1 pound / 16 cups) = 0.046875 pounds.
Now, we can solve for x by equating the amount of flour and sugar used in each batch:
x pounds of flour = x pounds of sugar
Substituting the values we calculated:
x pounds = 0.046875 pounds
Dividing both sides of the equation by x, we get:
1 = 0.046875 / x
Simplifying, we have:
x = 0.046875
Now we can find the number of batches by dividing the total amount of flour (16 pounds) by the amount of flour used in each batch (0.046875 pounds):
Number of batches = 16 pounds / 0.046875 pounds ≈ 341.33
Since we cannot have a fraction of a batch, the baker could have made approximately 341 batches of cookies with 16 pounds of flour and 12 cups of sugar.