A Bakery Sells Muffins And Bagels. Each Muffin Costs 2.25 And Each Bagel Costs 1.50. The Bakery Earns 775.50 From The Sale Of Muffins And Bagels On Saturday.

A. Write An Equation In Standard From The Repressents This Situation. (Ax+By=C)

B. If The Barkey Sells 322 Bagels, How Many Muffins Did They Sell?

A. 2.25x * 1.50y = 775.50

B. 34 bagels

Explanation A:

Because they want you to write an equation in standard form using the information given, we need to create the create of A, B, and C in Ax + By = C.

In this case, A will equal the cost of each muffin and B will equal the cost of each bagel. C shall represent total cost earned on Saturday. X will represent how many muffins were sold and Y will represent how many bagels were sold.

So, now that we have established each variables value, we can write the equation in standard form to get the answer.

Ax + By = C

↓

2.25x * 1.50y = 775.50

Explanation B:

Using the equation we created we can find out how many muffins they would have sold, if 322 bagels were sold. We shall replace X with 322.

2.25x * 1.50y = 775.50

↓

2.25 (322) * 1.50y = 775.50

Now we'll multiply 322 by 2.25.

2.25 (322) * 1.50y = 775.50

↓

724.50 * 1.50y = 775.50

Next, we need to subtract 724.50 from both sides of the equation.

724.50 - 724.50 * 1.50y = 775.50 - 724.50

↓

1.50y = 51

Finally, you need to divide both sides by 1.50 to isolate Y and get its value.

1.50 / 1.50y = 51 / 1.50

↓

y = 34

Since the value of Y is 34, that means they sold 34 bagels.