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Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising
$500 by selling
c boxes of candy. For every box they sell, they make
$2.75.
Write an equation that the students could solve to figure out how many boxes of candy they need to sell.

Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $\$ 500$ by selling $c$ boxes of candy. For every box they sell, they make $\$ 2.75$ . $\newline$ Write an equation that the students could solve to figure out how many boxes of candy they need to sell.

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Write linear functions: word problems

Full solution

Q. Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising

\$ 500

by selling

c

boxes of candy. For every box they sell, they make

\$ 2.75

.

\newline

Write an equation that the students could solve to figure out how many boxes of candy they need to sell.

Identify variables and goal: Identify the variables and the goal. $\newline$ The class needs to raise $\$500$ by selling boxes of candy. Each box of candy is sold for $\$2.75$ . We need to find the number of boxes, which we'll call ' $c$ '.
Set up equation: Set up the equation to represent the total amount raised. $\newline$ The total amount raised is equal to the number of boxes sold multiplied by the amount made per box. So, the equation is: $\newline$ $500 = 2.75 \times c$
Solve for 'c': Solve for 'c' to find out how many boxes need to be sold. $\newline$ To find 'c', we divide both sides of the equation by $2.75$ : $\newline$ $c = \frac{500}{2.75}$
Perform division: Perform the division to calculate the number of boxes. $\newline$ $c = \frac{500}{2.75}$ $\newline$ $c \approx 181.82$ $\newline$ Since they can't sell a fraction of a box, they would need to sell at least $182$ boxes to meet or exceed their goal.

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