A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket

multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'

-12(a + c = 824)

-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
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8a = 3456 divide both sides by 8
a = 432

To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392

adult 432, children 392

8 0

3 years ago

Write the phrase as an expression. Then evaluate when y=20.

alisha [4.7K]

Answer:

$Q=\frac{40}{y-16}$

$Q=10$

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is $y-16$

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is $y-16$ . So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and $y-16$ is given as:

$Q=\frac{40}{y-16}$

Now, we need to find the quotient when $y=20$ . Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

$Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10$

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0

3 years ago