courses/1880/quizzes/21387/take/questions/74291 A bakery buys a large bag of sugar that has 34 cups. They use 10 cups to make some cookies. Then they use the rest of the bag to make 144 giant muffins. Their customers want to know how much sugar is in each muffin. A. Write an equation to represent the situation. B. Explain what you variable represents in the story. Edit View Insert Format Tools Table 12pt Paragraph B I U​

Respuesta :

Answer:

A) Equation =

10 + 144x = 34

B) The number of cups of sugar per muffin = x

Hence, the number of cups of sugar per muffin = 1/6 cup of sugar

Step-by-step explanation:

From the Question :

A bakery buys a large bag of sugar that has 34 cups.

They use 10 cups to make some cookies.

Then they use the rest of the bag to make 144 giant muffins.

Their customers want to know how much sugar is in each muffin.

A. Write an equation to represent the situation.

Let the number of cups of sugar per muffins = x

Hence, our equation =

10 + 144x = 34

Collect like terms

144x = 34 - 10

144x = 24

B. Explain what you variable represents in the story.

The number of cups of sugar per muffin = x

Total number of cups of sugar = 34 Cups

The cups of sugar used to make small cookies = 10 cups

Hence:

10 + 144x = 34

Collect like terms

144x = 34 - 10

144x = 24

x = 24/144

x cups = 1/6 cups of sugar.

Hence, there is 1/6 cup of sugar in each muffin