The science club at the local high school went on a field trip to a museum and a movie. They paid $170 for 40 tickets to the space museum and $180 for 45 tickets to the movies. For which activity did the science club pay more per ticket? How do you know?(1 point)
Responses
the movies because they sold more tickets
the movies because they sold more tickets
the movies because the ratio for the movies is higher than the ratio for the space museum
the movies because the ratio for the movies is higher than the ratio for the space museum
the space museum because the ratio for the space museum is higher than the ratio for the movies
the space museum because the ratio for the space museum is higher than the ratio for the movies
the movies because they paid the most money
the movies because they paid the most money.
Given that the science club paid $170 for 40 tickets to the space museum, the cost per ticket for the space museum is $170/40 = $4.25 per ticket.
Similarly, for the movies, the science club paid $180 for 45 tickets, so the cost per ticket for the movies is $180/45 = $4 per ticket.
Since $4.25 per ticket for the space museum is greater than $4 per ticket for the movies, the science club paid more per ticket for the space museum. Therefore, the correct answer is the space museum.
To determine which activity the science club paid more per ticket for, we need to calculate the ratio of the total cost to the number of tickets for each activity.
For the space museum:
Total cost = $170
Number of tickets = 40
Ratio = Total cost / Number of tickets = $170 / 40 = $4.25 per ticket
For the movies:
Total cost = $180
Number of tickets = 45
Ratio = Total cost / Number of tickets = $180 / 45 = $4 per ticket
Comparing the ratios, we can see that the ratio for the space museum is higher ($4.25 per ticket) than the ratio for the movies ($4 per ticket). Therefore, the science club paid more per ticket for the space museum than for the movies. Hence, the correct answer is "the space museum because the ratio for the space museum is higher than the ratio for the movies."