Question

A bakery sells a total of 250 loaves of bread per day. They sell a combination of whole wheat and white bread. Whole wheat loaves sell for $2.50 each and white bread loaves sell for $2.00 each. If the total revenue from bread sales is $575, how many loaves of whole wheat bread and how many loaves of white bread were sold?

Answer 1

Let \( w \) represent the number of whole wheat loaves sold and \( b \) represent the number of white loaves sold. We can set up the following equations based on the information given:

1. The total number of loaves sold:
\[
w + b = 250
\]

2. The total revenue from the loaves sold:
\[
2.50w + 2.00b = 575
\]

We can simplify the second equation by multiplying through by 100 to avoid dealing with decimals:
\[
250w + 200b = 57500
\]

Now, we have the following system of equations:
1. \( w + b = 250 \)
2. \( 250w + 200b = 57500 \)

Next, we can solve the first equation for \( b \):
\[
b = 250 - w
\]

Now we substitute \( b \) into the second equation:
\[
250w + 200(250 - w) = 57500
\]
Expanding this gives:
\[
250w + 50000 - 200w = 57500
\]
Combine like terms:
\[
50w + 50000 = 57500
\]
Now, isolate \( w \) by subtracting 50000 from both sides:
\[
50w = 7500
\]
Now, divide by 50:
\[
w = 150
\]

Now that we have \( w \), we can find \( b \):
\[
b = 250 - w = 250 - 150 = 100
\]

Thus, the solution is:
- Whole wheat loaves sold: \( 150 \)
- White loaves sold: \( 100 \)

To check:
- The total revenue calculation:
\[
2.50(150) + 2.00(100) = 375 + 200 = 575
\]

Both equations hold true. Therefore, the final answer is:
- **Whole wheat loaves sold: 150**
- **White loaves sold: 100**