Allison makes Valentine Cards that she would like tosell at an upcoming school fair. She must pay $90 torent a booth at the school fair. The materials for eachcard cost $2.50, and she plans to sell each card for$3.75. To make a profit, she must make more moneythan she spends. Susana has already made 8 ValentineCards.Part A (first textbox) Write and solve an inequality toshow how many Valentine cards Susana should makein order to make some profit. Show the steps of yoursolutionsPart B (second textbox) Given that Susana has alreadymade 8 cards, how many additional cards must shemake and sell to make a profit? Answer in a completesentence.

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AlhassanG434173 AlhassanG434173 · Answer 1 · 2022-10-31T14:35:31+01:00

Part A

means that what she spends must be less than what she must earn

[tex]90+2.50C<3.75C[/tex]

where C is the number of cards

solving the inequality...

[tex]\begin{gathered} 90+2.50C<3.75C \\ 90<(3.75-2.50)C \\ 90<1.25C \\ \frac{90}{1.25}72 \end{gathered}[/tex]

she should make more than 72 Cards ,at least 73

Part B

If she must make 73 to earn something and Susana already made 8 we must do a subtraction to find out how many are missing

so

[tex]73-8=65[/tex]

she must make and sell 65 cards to make a profit