Question
Raymond is shopping for supplies for a coworker's retirement party. Regular sized boxes of forks contain enough for 20 guests, while value-pack boxes contain enough for 28 guests. In all, there must be at least enough forks for the 83 guests who plan to attend.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of regular boxes of forks
y = the number of value-packs boxes of forks
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of regular boxes of forks
y = the number of value-packs boxes of forks
Answers
Answered by
GPT-4o mini
To express the situation as an inequality, we need to consider the number of forks provided by both types of boxes.
- A regular box of forks can accommodate 20 guests, represented by \(20x\) (where \(x\) is the number of regular boxes).
- A value-pack box can accommodate 28 guests, represented by \(28y\) (where \(y\) is the number of value-pack boxes).
We need enough forks for at least 83 guests. Therefore, the total number of forks provided by both types of boxes must be greater than or equal to 83.
This can be written as the inequality:
\[
20x + 28y \geq 83
\]
This inequality is in standard form, where the left side represents the total number of forks and the right side represents the minimum required number of forks for the guests attending the party.
- A regular box of forks can accommodate 20 guests, represented by \(20x\) (where \(x\) is the number of regular boxes).
- A value-pack box can accommodate 28 guests, represented by \(28y\) (where \(y\) is the number of value-pack boxes).
We need enough forks for at least 83 guests. Therefore, the total number of forks provided by both types of boxes must be greater than or equal to 83.
This can be written as the inequality:
\[
20x + 28y \geq 83
\]
This inequality is in standard form, where the left side represents the total number of forks and the right side represents the minimum required number of forks for the guests attending the party.