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 cookie. what is the number of batches the baker could have made with his flour and sugar
How much of each did he use in each batch?
that what i need to find out
Keep Working. You will find the answer
i don't know where to begin.....
Your question asks how many batches. We can't tell unless we know the size of each batch.
Did each batch have 1/2 pound or 2 pounds of flour?
Keep workinng
i need HELP getting the answer.......
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To find the number of batches the baker could have made, we need to determine how many batches can be made with the given amount of flour and sugar.
Let's first find out how much flour and sugar are used in each batch. The question states that the baker used the same amount of flour and sugar in each batch. Therefore, we can divide the total amount used by the number of batches to get the amount used in one batch.
The baker used 16 pounds of flour for several batches, so we divide the total flour used by the amount used in one batch:
16 pounds ÷ (amount of flour used in one batch)
Similarly, the baker used 12 cups of sugar for several batches, so we divide the total sugar used by the amount used in one batch:
12 cups ÷ (amount of sugar used in one batch)
Let's assume that the amount of flour and sugar used in one batch is the same. Therefore, we need to find a common factor or multiple that can be used to divide both the flour and sugar amounts.
Let's prime factorize the numbers:
16: 2 × 2 × 2 × 2
12: 2 × 2 × 3
From the prime factorization, we can see that both 16 and 12 have two 2s as common factors.
Now, divide both the flour and sugar amounts by the common factor:
Flour: 16 pounds ÷ 2 = 8 pounds
Sugar: 12 cups ÷ 2 = 6 cups
So, each batch requires 8 pounds of flour and 6 cups of sugar.
To find the number of batches, we can assume that the baker used the entire supply of flour and sugar, without any leftovers.
Divide the total amount of flour by the amount used in one batch:
16 pounds ÷ 8 pounds per batch = 2 batches
Divide the total amount of sugar by the amount used in one batch:
12 cups ÷ 6 cups per batch = 2 batches
Therefore, the baker could have made 2 batches of cookies with the given supply of flour and sugar.