One day 176 people visited small art museum. The ratio of members to nonmembers that date was 5 to 11. How many people who visited the museum that day were nonmembers ?
m/(176-m) = 5/11
solve for m
answer is 176-m
To find out how many people who visited the museum that day were nonmembers, we need to determine the ratio of nonmembers to total people and then use that ratio to calculate the number of nonmembers.
Given that the ratio of members to nonmembers was 5 to 11, we can say that for every 5 members, there were 11 nonmembers who visited the museum that day.
Now, let's calculate the total number of people who visited the museum:
Total = Members + Nonmembers
We know that the number of members is 5 times a certain value, and the number of nonmembers is 11 times that same value. So, let's assume that value is x.
Members = 5x
Nonmembers = 11x
Now, we can calculate the total number of people:
Total = 5x + 11x = 16x
Given that 176 people visited the museum that day, we can set up the equation:
16x = 176
To solve for x, we divide both sides of the equation by 16:
x = 176 / 16
x = 11
Now that we have the value of x, we can find the number of nonmembers:
Nonmembers = 11x = 11 * 11 = 121
Therefore, there were 121 nonmembers who visited the museum that day.