Question

Suppose you and a partner want to make a recipe for 25 friends. Adjust the amount of each ingredient below to 25 servings.

Facts: *25 friends
Recipe for 100 servings
1.)100 baking apples
2.)72 tbsp of sugar.
3.)14 cups of flour
4.)6 tsp of baking powder
5.)24 eggs
6.)80 tbsp butter
7.)50 tbsp of chopped walnuts

Please show your work and explanation! Thank You!

Answer 1

The recipe is 4 times bigger than you need it to be. 100/25=4 Now just divide all ingredients by 4.

1.)100/4=25
2.)72/4=18
3.)14/4=3.5
4.)6/4=1.5
5.)24/4=6
6.)80/4=20
7.)50/4=12.5

Answer 2

Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that

25 / 100 =
`(25)/(100)` =
`(1)/(4)`

Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.

In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.

1.) 100 *
`(1)/(4)` =
`(100)/(1) * (1)/(4)` =
`(100 * 1)/(1 * 4)` =
`(100)/(4)` = 25

2.) 72 *
`(1)/(4)` =
`(72)/(1) * (1)/(4)` =
`(72 * 1)/(1*4)` =
`(72)/(4)` = 18

3.) 14 *
`(1)/(4)` =
`(14)/(1) * (1)/(4)` =
`(14 *1)/(1*4)` =
`(14)/(4)` = 3
`(1)/(2)`

4.) 6 *
`(1)/(4)` =
`(6)/(1) * (1)/(4)` =
`(6*1)/(1*4)` =
`(6)/(4)` = 1
`(1)/(2)`

5.) 24 *
`(1)/(4)` =
`(24)/(1) * (1)/(4)` =
`(24*1)/(1*4)` =
`(24)/(4)` = 6

6.) 80 *
`(1)/(4)` =
`(80)/(1) * (1)/(4)` =
`(80*1)/(1*4)` =
`(80)/(4)` = 20

7.) 50 *
`(1)/(4)` =
`(50)/(1) * (1)/(4)` =
`(50*1)/(1*4)` =
`(50)/(4)` = 12
`(1)/(2)`

And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)