Question
Rodrigo is purchasing chocolate truffles to use as party favors. To ensure there are enough for everyone, he needs to purchase at least 249 pieces. Dark chocolate truffles come in boxes of 13 pieces and milk chocolate truffles come in boxes of 18 pieces.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of boxes of dark chocolate truffles
y = the number of boxes of milk chocolate truffles
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of boxes of dark chocolate truffles
y = the number of boxes of milk chocolate truffles
Answers
GPT-4o mini
To express the situation as an inequality, we need to determine the total number of chocolate truffles based on the number of boxes of dark and milk chocolate truffles.
Rodrigo buys:
- **x** boxes of dark chocolate truffles, each containing 13 pieces, which contributes \( 13x \) truffles.
- **y** boxes of milk chocolate truffles, each containing 18 pieces, contributing \( 18y \) truffles.
The total number of truffles must be at least 249 pieces. Therefore, the inequality can be expressed as:
\[
13x + 18y \geq 249
\]
This is the inequality in standard form that describes the situation, where \( x \) is the number of boxes of dark chocolate truffles and \( y \) is the number of boxes of milk chocolate truffles.
Rodrigo buys:
- **x** boxes of dark chocolate truffles, each containing 13 pieces, which contributes \( 13x \) truffles.
- **y** boxes of milk chocolate truffles, each containing 18 pieces, contributing \( 18y \) truffles.
The total number of truffles must be at least 249 pieces. Therefore, the inequality can be expressed as:
\[
13x + 18y \geq 249
\]
This is the inequality in standard form that describes the situation, where \( x \) is the number of boxes of dark chocolate truffles and \( y \) is the number of boxes of milk chocolate truffles.