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4.06 Question 5
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.

x + y ≤ 200
4x + 3y ≤ 750

x + y ≤ 750
4x + 3y ≤ 200

x + y ≤ 200
3x + 4y ≤ 750

x + y ≤ 750
3x + 4y ≤ 200

Answer :

  • Adults be x
  • Campers be y

Total rooms =200

So inequality is given by

[tex]\\ \sf\longmapsto x+y\leqslant 200[/tex]

Now

  • Adult costs 4$ and Camper costs 3\$

Inequality is given by

[tex]\\ \sf\longmapsto 4x+3y\leqslant 750[/tex]

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