Jason has to sell a box of candy bars for a fundraiser. Yesterday he sold 1/3 of the total number of candy bars that came in the box, and today he sold 3 candy bars. If his sales for these two days was 11/30 of the total number of candy bars that came in the box, how many candy bars came in the box?
30
54
57
60
90
Define a variable, and write an equation. If x is the number of candy bars that Jason started with,
x - (1/3)x - 3 = (11/30)x
is an equation that can be solved to find the solution.
57
To solve this problem, let's break it down and set up an equation to represent the given information.
Let's assume that the total number of candy bars that came in the box is "x".
Yesterday, Jason sold 1/3 of the total number of candy bars, which is equal to (1/3)x.
Today, he sold 3 candy bars.
The total number of candy bars sold in these two days is given as 11/30 of the total number of candy bars, so the equation is:
(1/3)x + 3 = (11/30)x
We can multiply the entire equation by the least common denominator (30) to eliminate the fractions:
10x + 90 = 11x
Now, let's solve for x:
90 = 11x - 10x
90 = x
Therefore, the total number of candy bars that came in the box is 90.
So, the correct answer is 90.