The number 8,549,176,320 is unique. what makes it different from any other possible number?
- Rose
it contains all the numerals?
but that would not make it unique, since there are about 3.6 million that contain all 10 numerals.
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In one day a movie theater collected $4275 from 675 people. The price of admission is $7 for an adult and $5 for a child. How many andults and how many children were admitted to the movie theater that day?
To solve this problem, we can use a system of equations.
Let's say the number of adults is represented by 'a,' and the number of children is represented by 'c.'
According to the problem, we know that the total amount collected from 675 people is $4275.
So, we can set up the equation: 7a + 5c = 4275.
We also know that the total number of people is 675. This gives us a second equation: a + c = 675.
Now we have a system of equations:
7a + 5c = 4275
a + c = 675
There are a few methods to solve this system of equations, such as substitution or elimination. Let's use the elimination method.
Multiply the second equation by 7 to make the 'a' coefficients cancel out:
7(a + c) = 7(675)
7a + 7c = 4725
Now, subtract the new equation from the first equation:
7a + 5c - (7a + 7c) = 4275 - 4725
7a + 5c - 7a - 7c = -450
-2c = -450
c = 225
Substitute the value of c back into one of the equations to solve for a:
a + c = 675
a + 225 = 675
a = 675 - 225
a = 450
There were 450 adults and 225 children admitted to the movie theater on that day.