Question

Oliva is throwing a party, and she wants to invite 25 people. She wants to bake cupcakes for dessert. The recipe has a serving size of 12. This recipe includes 1 ½ cups of all-purpose flour, 1 tsp of baking powder, ½ tsp of salt, 1 stick of unsalted butter room temperature, 1 cup of sugar, 3 large eggs, 1 ½ tsp of pure vanilla extract, and ¾ cup of milk. Can you help Olivia figure out how much for a serving size of 25 and not 12?

Answer 1

To adjust Olivia's cupcake recipe serving size from 12 to 25, each ingredient amount was multiplied by 2.08. Olivia will need to round some amounts to practical measurements for the baking process.

Step-by-step explanation:

To help Olivia adjust her cupcake recipe for 25 servings instead of the original 12, we need to calculate the quantities of each ingredient proportionally. Since the recipe is designed for 12 cupcakes, and Olivia needs roughly the double amount plus one, we must multiply the amount of each ingredient by approximately 2.08 (which is 25 divided by 12, rounded to two decimal places).

Here's the adjusted recipe:

• All-purpose flour: 1.5 cups × 2.08 = 3.12 cups
• Baking powder: 1 tsp × 2.08 = 2.08 tsp
• Salt: 0.5 tsp × 2.08 = 1.04 tsp
• Unsalted butter: 1 stick × 2.08 = 2.08 sticks
• Sugar: 1 cup × 2.08 = 2.08 cups
• Large eggs: 3 eggs × 2.08 = 6.24 eggs
• Pure vanilla extract: 1.5 tsp × 2.08 = 3.12 tsp
• Milk: 0.75 cup × 2.08 = 1.56 cups

Olivia will need to round some of these amounts to the nearest practical measurement, e.g., she may round 1.56 cups of milk to 1.5 cups or adjust to her judgment when mixing the batter.

Answer 2

she wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first


flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour


baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder

salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt

butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter

sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar

eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs


vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract

milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk




for 25 servings
she needs

3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk