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A cupcake requires 3535 grams of sugar and 5050 grams of flour, and a muffin requires 3030 grams of sugar and 6565 grams of flour. Shawna needs to use up at least 460460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970970 grams of flour. Let CC denote the number of cupcakes she makes and MM the number of muffins she makes. Write an inequality that represents the condition based on the number of grams of sugar. Write an inequality that represents the condition based on the number of grams of flour.

Answer :

Answer:

The equations becomes: (based on the number of grams of sugar)

[tex]35C+30M\geq 460[/tex]

The equations becomes: (based on the number of grams of flour)

[tex]50C+65M\leq 970[/tex]

Step-by-step explanation:

A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.

Let C denotes the number of cupcakes.

Let M denotes the number of muffins.

Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins and at most 970 grams of flour.

The equations becomes: (based on the number of grams of sugar)

[tex]35C+30M\geq 460[/tex]

The equations becomes: (based on the number of grams of flour)

[tex]50C+65M\leq 970[/tex]

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