The local movie theater sold 16 small popcorns and 4 large popcorns.

Question

Based on the information, which statement is true?
Responses

A For every 32 small popcorns sold, there was 1 large popcorn sold.For every 32 small popcorns sold, there was 1 large popcorn sold.

B For every 4 small popcorns sold, there was 1 large popcorn sold.For every 4 small popcorns sold, there was 1 large popcorn sold.

C For each small popcorn sold, there were 4 large popcorns sold.For each small popcorn sold, there were 4 large popcorns sold.

D For each small popcorn sold, there were 32 large popcorns sold.For each small popcorn sold, there were 32 large popcorns sold.

Answer 1

To determine the correct statement, we need to analyze the ratio of small popcorns to large popcorns sold.

The local movie theater sold 16 small popcorns and 4 large popcorns.

To find the ratio of small popcorns to large popcorns, we can write it as:

• Small popcorns : Large popcorns = 16 : 4

Now, we can simplify this ratio by dividing both numbers by 4:

• 16 ÷ 4 = 4
• 4 ÷ 4 = 1

So the simplified ratio is 4 : 1, which means for every 4 small popcorns sold, there was 1 large popcorn sold.

Now let’s match this to the options provided:

A. For every 32 small popcorns sold, there was 1 large popcorn sold. (This is incorrect; it doesn't match our ratio.)

B. For every 4 small popcorns sold, there was 1 large popcorn sold. (This is correct!)

C. For each small popcorn sold, there were 4 large popcorns sold. (This is incorrect; it’s the opposite.)

D. For each small popcorn sold, there were 32 large popcorns sold. (This is also incorrect.)

Thus, the true statement is:

B. For every 4 small popcorns sold, there was 1 large popcorn sold.