Question
A bakery sells a total of 250 loaves of bread per day in two sizes: regular and large. If the number of regular loaves sold is 30 more than the number of large loaves sold, how many large loaves are sold daily?
Answers
GPT-4o mini
Let \( x \) represent the number of large loaves sold. Then, the number of regular loaves sold can be expressed as \( x + 30 \), since the number of regular loaves is 30 more than the number of large loaves.
According to the problem, the total number of loaves sold is 250. Therefore, we can write the equation:
\[
x + (x + 30) = 250
\]
Simplifying this equation:
\[
2x + 30 = 250
\]
Next, we subtract 30 from both sides:
\[
2x = 250 - 30
\]
\[
2x = 220
\]
Now, we divide both sides by 2 to find \( x \):
\[
x = \frac{220}{2} = 110
\]
Thus, the number of large loaves sold daily is \( \boxed{110} \).
To verify, we calculate the number of regular loaves sold:
\[
\text{Regular loaves} = x + 30 = 110 + 30 = 140
\]
Now, we check that the total adds up to 250:
\[
110 + 140 = 250
\]
Since everything checks out, the answer is indeed \( \boxed{110} \).
According to the problem, the total number of loaves sold is 250. Therefore, we can write the equation:
\[
x + (x + 30) = 250
\]
Simplifying this equation:
\[
2x + 30 = 250
\]
Next, we subtract 30 from both sides:
\[
2x = 250 - 30
\]
\[
2x = 220
\]
Now, we divide both sides by 2 to find \( x \):
\[
x = \frac{220}{2} = 110
\]
Thus, the number of large loaves sold daily is \( \boxed{110} \).
To verify, we calculate the number of regular loaves sold:
\[
\text{Regular loaves} = x + 30 = 110 + 30 = 140
\]
Now, we check that the total adds up to 250:
\[
110 + 140 = 250
\]
Since everything checks out, the answer is indeed \( \boxed{110} \).