Question

A recipe for a batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of

milk. How many total cups of sugar, flour, and milk will be needed for three batche-
of muffins?

Answer 1

19/4 or 4 3/4 total cups of ingredients

Explanation:

My attempt:

I'm not sure if you're asking for the cups needed for each ingredient or the total, so I included both:

To solve this problem, you need to multiply each value by three and then add it all together (or the other way around)

Multiplying:

1. Let's multiply the cups of sugar

`(1)/(3) cups * (3)/(1) = 1`
`cup`
`of`
`sugar`

2. Multiply the cups of flour

`(3)/(4)cups * (3)/(1) = (9)/(4)`
`cups`
`of`
`flour`

3. Finally, multiply the cups of milk

`(1)/(2) cups * (3)/(1) = (3)/(2)`
`cups`
`of`
`milk`

Now that we know how many cups of each ingredient we need for three batches, to find the total, we just need to add them up.

To add fractions, we need a common denominator. So, we must multiply each fraction by a certain number to get the common denominator.

In this case, 4 looks like a good common denominator because it's the least common multiple.

Multiplying to get each number to the common denominator:

4. We need to multiply 1 by 4/4 to get a denominator of 4 and keep the same value:

`1 * (4)/(4) =(4)/(4)`

5. We don't have to multiply the 9/4 cups of flour by anything because it already has a denominator of 4. We'll leave it as it is.

`(9)/(4)`

6. We need to multiply 3/2 by 2/2 to get a denominator of 4 and keep the same value:

`(3)/(2) *(2)/(2) =(6)/(4)`

Now, we just have to add all these values together:

Adding the values:

`(4)/(4) +(9)/(4) +(6)/(4) =(4+9+6)/(4) =(19)/(4)`

And we have our answer: 19/4 total cups of ingredients.

Answer 2

Explanation:

A recipe for one batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of milk. To make three batches of muffins, you will need 3 * 1/3 = <<31/3=1>>1 cup of sugar.

You will also need 3 * 3/4 = <<33/4=2.25>>2.25 cups of flour.

Finally, you will need 3 * 1/2 = <<3*1/2=1.5>>1.5 cups of milk.

In total, you will need 1 + 2.25 + 1.5 = <<1+2.25+1.5=5>>5 cups of sugar, flour, and milk to make three batches of muffins.