QuestionTwo clubs raised money: Math club: \ $500 + \$2c; Drama club: \$350 + \$3c. Find$ c$ for equal totals.

Studdy Solution

STEP 1

Assumptions1. The math club has already raised $500 and is selling candy for$ each. . The drama club has already raised $350 and is selling candy for$ 3 each.
3. The variable $c$ represents the amount of candy each club must sell so that the total amount of money raised is the same.

STEP 2

We can start by writing an equation for the total amount of money raised by each club. The total money raised is the sum of the money already raised and the money earned from selling candy.
For the math club, the equation is $Total_{math} = AlreadyRaised_{math} + Price_{math} \\times Candy_{math}$ For the drama club, the equation is $Total_{drama} = AlreadyRaised_{drama} + Price_{drama} \\times Candy_{drama}$

STEP 3

Since we want the total amount of money raised by both clubs to be the same, we can set the two equations equal to each other.
$AlreadyRaised_{math} + Price_{math} \\times Candy_{math} = AlreadyRaised_{drama} + Price_{drama} \\times Candy_{drama}$

STEP 4

Now, plug in the given values for the already raised money and the price of the candy for each club.
$\$500 + \$2 \\times c = \$350 + \$3 \\times c$

STEP 5

This is the equation that can be used to determine $c$ , the amount of candy each club must sell so that the total amount of money raised is the same.
$\$500 + \$2c = \$350 + \$3c$

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