A student sold candy bars and bags of popcorn for a school fund-raiser.
- The student sold a total of 240 candy bars and bags of popcorn.
- The price of each candy bar was $1, and the price of each bag of popcorn was $2.
- The student sold $300 worth of candy bars and bags of popcorn.
How many candy bars did this student sell for the school fund-raiser?
A.) 80
B.) 60
C.) 180
D.) 120
Let's solve this problem using algebra.
Let X be the number of candy bars sold.
Then the number of bags of popcorn sold is 240 - X.
The total amount earned from candy bars is X * $1.
The total amount earned from bags of popcorn is (240 - X) * $2.
Since the total amount earned is $300, we can write the equation:
X * $1 + (240 - X) * $2 = $300.
Simplifying the equation:
X + (480 - 2X) = 300.
Combining like terms:
- X + 480 = 300.
Subtracting 480 from both sides:
- X = -180.
Dividing by -1 to solve for X:
X = 180.
Therefore, the student sold 180 candy bars for the school fund-raiser.
The answer is C.) 180.