P=2a+3b+4c solve for c
1 answer:
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Answer:
3600 $10 tickets
4900 $20 tickets
Step-by-step explanation:
We can use variables to represent the different types of tickets. Let "x" represent the amount of $10 tickets and "y" represent the amount of $20 tickets. Now we can set up a system of equations.
<h3>Setting up a System of Equations</h3>We know that in total, 8500 tickets were sold. Therefore...
Or in other words, "the amount of $10 tickets plus the amount of $20 tickets is equivalent to 8500 tickets in total".
We also know that $134,000 was made. Therefore...
Or in other words, "10 times the amount of $10 tickets plus the 20 times the amount of $20 tickets is equivalent to 134000". Notice that since each ticket costs $10/$20, we have to multiply each variable by that value. We can now solve this system of equations.
<h3>Solving the System of Equations</h3>We can solve this system of equations using the elimination method. First, make either the x or y value equivalent in both equations. To do this, we can multiply a whole equation by a certain value.
Multiply the first equation by 10:
Now, subtract the first equation from the second equation.
Divide both sides of the equation by 10
Now, subtract this number from 8500 to find the amount of $10 tickets.
The jazz concert sold 3600 $10 tickets and 4900 $20 tickets.
Answer:
Step-by-step explanation:
GIVEN: Catherine sells cupcakes c for each, The ingredients for each cupcake cost her
, and the sum of all her other expenses is
.
TO FIND: Equation to represent Catherine's profit from selling cupcakes.
SOLUTION:
Cost of ingredients for each cupcake
sum of all other expenses
Selling price of each cupcake
Total cupcakes sold
Now,
As we know that
putting values,
Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is