In the accompanying diagram, the center of
circle o is at the origin, radius OB = 1, and
MZAOB 30. What are the coordinates of
point B?

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.