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torisob [31]
3 years ago
8

At the movie theatre, child admission is $5.20 and adult admission is $9.70. On Sunday three time as many adult tickets as child

tickets were sold, for a total sales of $788.90. How many child tickets were sold that day?
Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0

Answer:

23 child tickets were sold

Step-by-step explanation:

Using the information given, we can set up an equation to solve for the number of child tickets sold.  Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets.  Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:

5.20x + 9.70(3x) = 788.90

Simplify 5.20x + 29.1x = 788.90

Combine like terms:  34.3x = 788.90

Divide both sides by 34.3:  x = 23 child tickets

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PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
Paraphin [41]

the overhead, fixed costs, is $1000.

the variable cost is $200, so if she sells "x" tiles, then her costs is 200*x or 200x.

total costs then will just be C(x) = 200x + 1000.

namely both costs added together.

Revenue is just how much it's been taken in from the sales, since each tile is selling for $240, then the revenue is simply 240*x or just R(x) = 240x.

break even point is when those two guys equal each other

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{200x+1000}\implies 40x=1000\implies x=\cfrac{1000}{40}\implies x=25

what if the cost for each tile were $220, 20 bucks more?

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{220x+1000}\implies 20x=1000\implies x=\cfrac{1000}{20}\implies x=50

well, if the cost for each tile is $200, her break-even point is at 25 units, namely once she has sold 25 tiles, she's has lost nothing, has won nothing either, but hasn't lost anything.

if the cost is however $220 instead, her break-even point comes much later, at 50 units, so she'll have to sell more tiles in order to not have any losses, so she's worse off if the cost is more or course.

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Step-by-step explanation:

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