Answer:
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.