Question

360 sweet boxes are distributed among A, B and C. If the ratio of the number of sweet boxes distributed to A and C is 12:11 and the number of sweet boxes distributed to B is 8.33% more than that of A, then find the difference between the number of sweet boxes distributed between B and C?

• A. 20
• B. 50
• C. 80
• D. 70

Answer 1

The Correct Option is A

To find the difference between the number of sweet boxes distributed between B and C, follow these steps: First, establish the variable representation based on the given ratios and conditions:

• Let the number of sweet boxes distributed to A be \( 12x \).
• Then, the number of sweet boxes distributed to C is \( 11x \), according to the ratio 12:11 for A and C.
• Given that B receives 8.33% more than A, calculate the sweet boxes for B: 8.33% of A is \( 0.0833 \times 12x = 1x \). Thus, B receives \( 12x + 1x = 13x \) sweet boxes.

According to the problem, the total number of sweet boxes is 360:

\( 12x + 13x + 11x = 360 \)

\( 36x = 360 \)

Solve for \( x \):

\( x = \frac{360}{36}=10 \)

Now, calculate the number of sweet boxes each person receives:

• A receives \( 12x = 120 \) sweet boxes.
• B receives \( 13x = 130 \) sweet boxes.
• C receives \( 11x = 110 \) sweet boxes.

The difference between sweet boxes distributed to B and C is:

\( 130 - 110 = 20 \)

Therefore, the difference between the number of sweet boxes distributed between B and C is 20.