i don’t understand this at all

Question

 The art department needs $1,000 for art supplies. If Trisha sells the pancakes for $1.00 and each batch makes 12 pancakes, estimate how many batches will Trisha and her friends have to make to raise $1,000

Answer 1

Hi, Jana,

David has the correct answer. I summarized the steps in a chart and look more closely at the units involved:

Use the units to help set up the calculations. I arrived at the number of batches in line 5 by dividing the target amount of $1,000 by the $12/batch in line 4. Keeping the units:

$1,000/(12 $/batch) = 83.333 batches. As David correctly states, round up, unless you can make 0.333 batch easily. This calculation is the same as David's equation, but looking at the units you can also see why it works. The dollar signs cancel and batches moves to the top, leaving just batches.

Bob

Answer 2

The department needs $1000

1 pancake sells for $1

1 batch = 12 pancakes

1 batch makes $12 since each of the 12 pancakes sells for $1 each

Let b = the number of batches needed to be cooked in order to have enough pancakes to sell

We can set up an equation

($12/batch * # batches) = money raised

Since we need $1000,

12b = 1000 Divide both sides by 12 to get

b = 83.333333333333

Since we can't make .33333333 of a batch, we should round up.

You need to make 84 batches of pancakes in order to have enough to sell to raise at least $1000