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Answer :
To solve the problem and find the inequality that describes the situation, let's go through the steps together:
1. Understand the Variables and Quantities:
- Felipe can make a maximum of 182 ounces of lemonade.
- A regular cup holds 11 ounces.
- A small cup holds 4 ounces.
- We define:
- [tex]\( x \)[/tex] as the number of regular cups.
- [tex]\( y \)[/tex] as the number of small cups.
2. Set Up the Inequality:
- The total ounces of lemonade used is the sum of the ounces in regular cups and small cups.
- The total lemonade used by regular cups is [tex]\( 11x \)[/tex] (since each regular cup uses 11 ounces).
- The total lemonade used by small cups is [tex]\( 4y \)[/tex] (since each small cup uses 4 ounces).
3. Formulate the Inequality:
- The inequality should show that the total number of ounces used (by both regular and small cups) is no more than 182 ounces.
- Thus, the equation will be:
[tex]\( 11x + 4y \leq 182 \)[/tex].
This inequality represents the condition Felipe must meet while selling lemonade, where the total ounces of lemonade in all cups must not exceed 182 ounces.
1. Understand the Variables and Quantities:
- Felipe can make a maximum of 182 ounces of lemonade.
- A regular cup holds 11 ounces.
- A small cup holds 4 ounces.
- We define:
- [tex]\( x \)[/tex] as the number of regular cups.
- [tex]\( y \)[/tex] as the number of small cups.
2. Set Up the Inequality:
- The total ounces of lemonade used is the sum of the ounces in regular cups and small cups.
- The total lemonade used by regular cups is [tex]\( 11x \)[/tex] (since each regular cup uses 11 ounces).
- The total lemonade used by small cups is [tex]\( 4y \)[/tex] (since each small cup uses 4 ounces).
3. Formulate the Inequality:
- The inequality should show that the total number of ounces used (by both regular and small cups) is no more than 182 ounces.
- Thus, the equation will be:
[tex]\( 11x + 4y \leq 182 \)[/tex].
This inequality represents the condition Felipe must meet while selling lemonade, where the total ounces of lemonade in all cups must not exceed 182 ounces.
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