fill this whole thing out
Original Recipe Ingredients
Ratio for one serving
Proportion
used to
increase recipe
to serve
classmates
Work to solve
proportion
Final recipe amount- to feed entire class
EX: 1 cup of flour
(serves 4)
1:4
1 x
౼ = ꠳
4 26
4x = 26
—-----
4 4
6 ½ cups of flour
3 large baking apples (such as honeycrisp)
2 teaspoons apple cider vinegar
1 cup all purpose flour
1 tp baking powder
1 tp kosher salt
1 stick unsalted butter, at room temp
½ cup white sugar
2 tablespoons light brown sugar
2 large eggs
3 tbsp dark rum
½ tsp vanilla extract
3 tbsp white sugar for the top
Ratio: 1:4
Proportion: 1 serving to 4 classmates
Proportional equation:
1 serving x = 26 classmates
4
Solving the proportion:
4x = 26
x = 6.5
Final recipe amount:
6 ½ cups of flour
3 large baking apples (such as honeycrisp)
2 teaspoons apple cider vinegar
1 cup all-purpose flour
1 teaspoon baking powder
1 teaspoon kosher salt
1 stick unsalted butter, at room temperature
½ cup white sugar
2 tablespoons light brown sugar
2 large eggs
3 tablespoons dark rum
½ teaspoon vanilla extract
3 tablespoons white sugar for the top
To fill out the table step-by-step:
Original Recipe Ingredients:
- 1 cup of flour
- 3 large baking apples
- 2 teaspoons apple cider vinegar
- 1 cup all-purpose flour
- 1 teaspoon baking powder
- 1 teaspoon kosher salt
- 1 stick unsalted butter, at room temperature
- 1/2 cup white sugar
- 2 tablespoons light brown sugar
- 2 large eggs
- 3 tablespoons dark rum
- 1/2 teaspoon vanilla extract
- 3 tablespoons white sugar for the top
Ratio for one serving: (serves 4)
- 1:4
Proportion used to increase recipe to serve classmates:
- x/26 = 1/4 (where x represents the amount of the ingredient needed to feed the entire class)
Work to solve the proportion:
- Multiply both sides by 26 to eliminate the denominators:
26 * (x/26) = 26 * (1/4)
x = 26/4
x = 6.5
Final recipe amount - to feed the entire class:
- 6.5 cups of flour (rounded up)
- 3 large baking apples
- 2 teaspoons apple cider vinegar
- 6.5 cups all-purpose flour
- 1.625 teaspoons baking powder (rounded up)
- 1.625 teaspoons kosher salt (rounded up)
- 1.625 sticks unsalted butter, at room temperature (rounded up)
- 1.625 cups white sugar (rounded up)
- 3.25 tablespoons light brown sugar (rounded up)
- 2.6 large eggs (rounded up)
- 4.875 tablespoons dark rum (rounded up)
- 0.8125 teaspoons vanilla extract (rounded up)
- 4.875 tablespoons white sugar for the top (rounded up)
To fill out this recipe, we need to increase the proportions in the original recipe to serve the entire class. Let's start by solving the proportion.
Given information:
Original recipe: 1 cup of flour (serves 4)
Final recipe amount: To feed entire class
Original Recipe Proportion: 1:4 (1 cup of flour : serves 4)
Now, we'll set up the proportion to solve for the final recipe amount:
1:4 = x:total class size
To solve for x, we need to cross-multiply and divide:
1 * total class size = 4 * x
total class size = 4x
Now, let's continue filling out the recipe:
Final recipe amount:
Flour - 6 ½ cups (solved from the proportion)
Additional ingredients:
- 3 large baking apples (such as honeycrisp)
- 2 teaspoons apple cider vinegar
- 1 cup all-purpose flour
- 1 teaspoon baking powder
- 1 teaspoon kosher salt
- 1 stick unsalted butter, at room temperature
- ½ cup white sugar
- 2 tablespoons light brown sugar
- 2 large eggs
- 3 tablespoons dark rum
- ½ teaspoon vanilla extract
- 3 tablespoons white sugar for the top
By increasing the proportions in the original recipe while keeping the same ratios, you can ensure that you have enough of each ingredient to feed the entire class.