Sarah's youth group is selling candy bars for a fundraiser. The candy bars cost $1.50 each. To date, they have raised $900. Their goal is to raise more than $2,550.
How many more candy bars, x, do they need to sell to reach their goal? Select the inequality that includes the smallest number of candy bars they can sell and still reach their goal.
A.
x > 1,800
B.
x > 2,900
C.
x > 1,100
D.
x > 600
X > (2550 - 900)/1.50 =
x >1,100
C
To find out how many more candy bars Sarah's youth group needs to sell to reach their goal, we need to subtract the amount they have already raised ($900) from their goal ($2,550). This will give us the remaining amount they still need to raise.
Remaining amount to raise = Goal - Amount raised
Remaining amount to raise = $2,550 - $900
Remaining amount to raise = $1,650
Since each candy bar costs $1.50, we can calculate the number of candy bars they need to sell by dividing the remaining amount to raise by the cost per candy bar.
Number of candy bars needed to sell = Remaining amount to raise / Cost per candy bar
Number of candy bars needed to sell = $1,650 / $1.50
Number of candy bars needed to sell ≈ 1,100
So, the smallest number of candy bars they can sell and still reach their goal is 1,100. Therefore, the correct answer is C. x > 1,100.
To find the number of candy bars, x, they need to sell to reach their goal, we can set up an inequality based on the amount they have raised and the cost of each candy bar.
Let's assume they need to sell x candy bars.
The amount raised so far is $900, and the cost of each candy bar is $1.50. Therefore, the amount raised is equal to the number of candy bars sold multiplied by the cost per candy bar:
900 = 1.50 * x
To find the inequality that includes the smallest number of candy bars they can sell and still reach their goal, we need to determine the minimum number of candy bars they need to sell to raise more than $2,550.
So, let's rearrange the equation to solve for x:
1.50 * x > 2,550
Dividing both sides of the inequality by 1.50, we get:
x > 2,550 / 1.50
Simplifying the right side of the inequality, we have:
x > 1,700
Therefore, the smallest number of candy bars they can sell and still reach their goal is x > 1,700.
Now, let's compare the answer choices given:
A. x > 1,800 - This is greater than the smallest number of candy bars they need to sell (x > 1,700).
B. x > 2,900 - This is greater than the smallest number of candy bars they need to sell (x > 1,700).
C. x > 1,100 - This is less than the smallest number of candy bars they need to sell (x > 1,700).
D. x > 600 - This is less than the smallest number of candy bars they need to sell (x > 1,700).
Therefore, the correct answer is A. x > 1,800, as it includes the smallest number of candy bars they can sell and still reach their goal.