Julie has decided to start a snow cone stand, and needs to purchase paper cups and flavored syrup. A local supplier offers packages of 25 cups at a cost of $3.06 per package, and bottles of syrup for $4.41 apiece. She has already decided to purchase 51 bottles of syrup. If her total budget for these supplies is $366.00, and she cannot exceed this budget, which of the following inequalities could be used to solve for p, the number of packages of cups she can purchase? $224.91 + $3.06p $366.00 $156.06 + $4.41p $366.00

Question

Julie has decided to start a snow cone stand, and needs to purchase paper cups and flavored syrup. A local supplier offers packages of 25 cups at a cost of $3.06 per package, and bottles of syrup for $4.41 apiece. She has already decided to purchase 51 bottles of syrup. If her total budget for these supplies is $366.00, and she cannot exceed this budget, which of the following inequalities could be used to solve for p, the number of packages of cups she can purchase? $224.91 + $3.06p < $366.00 $224.91p - $3.06 > $366.00 $156.06 + $4.41p < $366.00 $4.41 + $3.06p > $366.00

anonymous · Answer

Alright, if her budget is $366, then that means her spendings(everything with a p) must be on the smaller end of the inequality. So options 2 and 4 are out. If she already purchased syrup for 4.41, then there should be no p in front of it, so option 3 is out, leaving option 1.

anonymous · Answer

Thank you!