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------------------------------------------------ A sundae requires 3 ice cream scoops and a milkshake requires 2 ice cream scoops. Jose wants to make sundaes and milkshakes with at most 20 ice cream scoops. Let \( S \) denote the number of sundaes he makes and \( M \) the number of milkshakes he makes.

Write an inequality that represents this condition based on the number of ice cream scoops:

\[ 3S + 2M \leq 20 \]

Answer :

Answer:

We can write the inequality for the ice cream scoops as:

[tex]3S+2M\leq20[/tex]

Step-by-step explanation:

There are 20 ice cream scoops available.

The inequality will represent that the ice cream coops used will be equal or less than the 20 ice cream scoops available.

We know that a sundae (S) uses 3 ice cream scoops and that the milkshakes (M) uses 2 ice cream scoops.

Then, the the ice cream scoops used can be written as:

[tex]3S+2M[/tex]

This sum has to be at most 20, so we can write the inequality as:

[tex]3S+2M\leq20[/tex]

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