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A scouting troop from Georgetown is organizing a crab feed to raise money for camp. They need to make at least $900\$900 to cover the costs of the camp. Tickets for the crab dinner sell for $27\$27 apiece. Those people who don't like crab can purchase the vegetarian dinner ticket for $23\$23 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of crab dinners sold\newliney=y = the number of alternative dinners sold\newlineChoices:\newline(A) 27x+23y≤90027x + 23y \leq 900\newline(B) 27x+23y≥90027x + 23y \geq 900\newline(C) 23x+27y≤90023x + 27y \leq 900\newline(D) 23x+27y≥90023x + 27y \geq 900

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Q. A scouting troop from Georgetown is organizing a crab feed to raise money for camp. They need to make at least $900\$900 to cover the costs of the camp. Tickets for the crab dinner sell for $27\$27 apiece. Those people who don't like crab can purchase the vegetarian dinner ticket for $23\$23 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of crab dinners sold\newliney=y = the number of alternative dinners sold\newlineChoices:\newline(A) 27x+23y≤90027x + 23y \leq 900\newline(B) 27x+23y≥90027x + 23y \geq 900\newline(C) 23x+27y≤90023x + 27y \leq 900\newline(D) 23x+27y≥90023x + 27y \geq 900
  1. Calculate Revenue from Crab Dinner: Determine the revenue from selling one crab dinner ticket.\newlineRevenue from one crab dinner ticket: $27\$27\newlineNumber of crab dinner tickets sold: xx\newlineTotal revenue from crab dinner tickets: 27×x=27x27 \times x = 27x
  2. Calculate Revenue from Vegetarian Dinner: Determine the revenue from selling one vegetarian dinner ticket.\newlineRevenue from one vegetarian dinner ticket: $23\$23\newlineNumber of vegetarian dinner tickets sold: yy\newlineTotal revenue from vegetarian dinner tickets: 23×y=23y23 \times y = 23y
  3. Combine Total Revenue: Combine the revenue from both crab and vegetarian dinner tickets to form an expression for total revenue.\newlineTotal revenue from crab dinner tickets: 27x27x\newlineTotal revenue from vegetarian dinner tickets: 23y23y\newlineTotal revenue from all tickets: 27x+23y27x + 23y
  4. Formulate Inequality: Formulate the inequality based on the requirement that the scouting troop needs to raise at least $900\$900. The total revenue must be at least $900\$900. Inequality: 27x+23y≥90027x + 23y \geq 900

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