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oksian1 [2.3K]
3 years ago
7

There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val

ue of 5812. How many of each type ticket are in a piles
Mathematics
1 answer:
polet [3.4K]3 years ago
3 0

Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and  total number of regular tickets.

So the equation can be written as;

x+y=120\ \ \ \ \ equation\ 1

Again,total amount  is the sum of total number of premium tickets multiplied by cost of each premium ticket and  total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

99x+25y=5812\ \ \ \ equation\ 2

Now We will multiply equation 1 by 25 we get;

x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3

Now Subtracting equation 3 from equation 2 we get;

(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38

We will now substitute the value of x in equation 1 we get;

x+y=120\\38+y=120\\y=120-38\\y=82

Hence There are 38 premium tickets and 82 regular tickets in a pile.

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2 years ago
Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro
blagie [28]

Answer:

Step-by-step explanation:

step a system of two equations         c = child ticket     a = adult ticket

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I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

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Now find the adult ticket price,  plug 2.3 for c into eq 1)

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double check using eq 2)    we know c and a values

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    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. <em>See attached for a visual</em>.

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wed: 5x+6y=12
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so
5x+6y=12 and
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we can eliminate y's by multiplying 2nd equation by -3 and adding to first equation

-9x-6y=-18
<u>5x+6y=12 +</u>
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sub back

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Plan A=1.5 hours
Plan B=0.75 hours
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