Use the table to answer the question. Lower Level Upper Level 6 5 30 25 60 50 This two-column table shows the number of lower-level and upper-level tickets sold. What is an equivalent part-to-part ratio? (1 point) Responses 100 lower level:120 upper level ratio of 100 lower level to 120 upper level 105 lower level:106 upper level ratio of 105 lower level to 106 upper level 120 lower level:100 upper level ratio of 120 lower level to 100 upper level 106 lower level:105 upper level
The correct equivalent part-to-part ratio is 106 lower level: 105 upper level.
To find the equivalent part-to-part ratio in the given table, we need to compare the number of lower-level tickets sold to the number of upper-level tickets sold and simplify the ratio.
Looking at the table:
Lower Level Upper Level
6 5
30 25
60 50
We can see that for each row, the ratio of lower level to upper level tickets is:
First row: 6 (lower level) : 5 (upper level)
Second row: 30 (lower level) : 25 (upper level)
Third row: 60 (lower level) : 50 (upper level)
To simplify and find the equivalent part-to-part ratio, we can divide both sides of the ratio by the greatest common divisor (GCD) of the number pairs in order to simplify the ratios.
For the first row, the GCD of 6 and 5 is 1, so the simplified ratio is 6:5.
For the second row, the GCD of 30 and 25 is 5, so the simplified ratio is 6:5.
For the third row, the GCD of 60 and 50 is 10, so the simplified ratio is 6:5.
So, the equivalent part-to-part ratio for all the given rows is 6:5. None of the provided options matches this ratio.
To determine the equivalent part-to-part ratio, we need to find a ratio that represents the same relationship as the given table. Looking at the given table, we see that the number of lower-level tickets decreases by 1 for every 5 tickets, while the number of upper-level tickets decreases by 1 for every 4 tickets.
From this information, we can deduce that the equivalent part-to-part ratio is 105 lower level: 106 upper level. This ratio represents the same relationship as the given table with a slight discrepancy due to rounding.