Sharon is selling cups of lemonade at a stand outside her house. She has enough supplies on hand to make a maximum of 169 ounces of lemonade. A regular cup holds 11 ounces of lemonade and a small cup can hold 7 ounces of lemonade.

Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of regular cups of lemonade
y = the number of small cups of lemonade

1 answer

The number of regular cups of lemonade (x) times the amount of lemonade per regular cup (11 ounces) plus the number of small cups of lemonade (y) times the amount of lemonade per small cup (7 ounces) must be less than or equal to the maximum amount of lemonade that can be made (169 ounces).

The inequality is x * 11 + y * 7 ≤ 169.
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