Question

Elisa won 57 lollipops playing basketball at the school fair. She gave two to every student in her math class. She has at least 7 lollipops left.

Answer 1

Let:

L(x) = remaining lollipops

x = Number of students in her math class

Part A

$57-2x\ge L(x)$

Since she has at least 7 lollipos left:

$\begin{gathered} L(x)=7 \\ 57-2x\ge7 \end{gathered}$

Part B

$\begin{gathered} 57-2x\ge7 \\ \text{Solving for x:} \\ \text{Subtract 57 from both sides:} \\ 57-2x-57\ge7-57 \\ -2x\ge-50 \\ \text{Divide both sides by -2:} \\ -\frac{2x}{-2}\ge-\frac{50}{2} \\ x\le25 \end{gathered}$

Part C

$\begin{gathered} 57-2x\ge7 \\ \text{ Since } \\ x\le25 \\ 57-2(25)\ge7 \\ 57-50\ge7 \\ 7\ge7 \end{gathered}$

Therefore the maximum number of students Elisa has in her class is 25.