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Ezra is purchasing chocolate truffles to use as party favors. To ensure there are enough for everyone, he needs to purchase at least $228$ pieces. Dark chocolate truffles come in boxes of $24$ pieces and milk chocolate truffle comes in packs of $32$ pieces. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x$ = the number of boxes of dark chocolate truffles $\newline$ $y$ = the number of boxes of milk chocolate truffles

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Write two-variable inequalities: word problems

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Q. Ezra is purchasing chocolate truffles to use as party favors. To ensure there are enough for everyone, he needs to purchase at least

228

pieces. Dark chocolate truffles come in boxes of

24

pieces and milk chocolate truffle comes in packs of

32

pieces. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x

= the number of boxes of dark chocolate truffles

\newline

y

= the number of boxes of milk chocolate truffles

Calculate dark chocolate truffles: Ezra needs at least $228$ pieces. Dark chocolate truffles come in boxes of $24$ pieces. So, the total number of dark chocolate truffles is $24x$ .
Calculate milk chocolate truffles: Milk chocolate truffles come in packs of $32$ pieces. So, the total number of milk chocolate truffles is $32y$ .
Find total number of truffles: To find the total number of truffles, we add the number of dark chocolate truffles and milk chocolate truffles, which gives us $24x + 32y$ .
Formulate inequality: Ezra needs at least $228$ pieces. So, the inequality that describes this situation is $24x + 32y \geq 228$ .

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