Answer:
A) 2 to 7
Explanation:
Step 1: Determine How Many Child Tickets Were Sold
The question is asking about the ratio of the number of child tickets sold to the number of total tickets sold, but we can't find that unless we know how many child tickets were sold, so let's figure that out first.
We are given that 175 tickets were sold. Of those 175 tickets, 125 were adult tickets, and the rest were child tickets. This means that the number of total tickets sold was equal to the sum of the number of child and adult tickets sold. Therefore, there were 175 - 125 = 50 child tickets sold.
Step 2: Determine the Ratio of Child Tickets to Total Tickets
We now know that 50 out of the 175 total tickets sold were child tickets, so we can find the ratio of the two values. Remember that a ratio just represents the relation between numbers, so we can write the current ratio of child tickets to total tickets as 50 to 175. However, since ratios can be written as fractions, we quickly see that this ratio can be simplified.
In fraction form, this ratio is
. Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25 in this case, gives us
, so the final ratio is 2 to 7.