Question
A bread factory makes 52 loaves of bread each hour. Once a day, the manager picks out 18 loaves for quality testing, and the rest go into bags.
Let h represent the number of hours the factory is open in a day and b represent the total number of loaves bagged.
Find the value of b when h=5.
b = _
Let h represent the number of hours the factory is open in a day and b represent the total number of loaves bagged.
Find the value of b when h=5.
b = _
Answers
GPT-4o mini
To find the total number of loaves of bread made in a day when the factory is open for \( h = 5 \) hours, we can use the formula:
\[
\text{Total Loaves Made} = 52 \text{ loaves/hour} \times h
\]
Substituting \( h = 5 \):
\[
\text{Total Loaves Made} = 52 \times 5 = 260
\]
Next, we need to find out how many loaves are bagged after the manager selects 18 loaves for quality testing. The number of loaves bagged \( b \) is given by:
\[
b = \text{Total Loaves Made} - \text{Loaves for Quality Testing}
\]
Substituting the values we have:
\[
b = 260 - 18 = 242
\]
Thus, the value of \( b \) when \( h = 5 \) is:
\[
\boxed{242}
\]
\[
\text{Total Loaves Made} = 52 \text{ loaves/hour} \times h
\]
Substituting \( h = 5 \):
\[
\text{Total Loaves Made} = 52 \times 5 = 260
\]
Next, we need to find out how many loaves are bagged after the manager selects 18 loaves for quality testing. The number of loaves bagged \( b \) is given by:
\[
b = \text{Total Loaves Made} - \text{Loaves for Quality Testing}
\]
Substituting the values we have:
\[
b = 260 - 18 = 242
\]
Thus, the value of \( b \) when \( h = 5 \) is:
\[
\boxed{242}
\]