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denpristay [2]
3 years ago
6

The ticket to a ballet cost either $25 or $50. A total of 1,250 tickets , worth $50,000, were sold. If x represents the number o

f $25 tickets and y represents the number of $50 tickets , which system of linear equations can be used to find the number of each ticket sold ?
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Let's assume

x represents the number of $25 tickets

y represents the number of $50 tickets

A total of 1,250 tickets

so, we get

x+y=1250

So, cost of $25 tickets is 25x

So, cost of $50 tickets is 50y

Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)

Total cost of tickets =25x+50y

we are given

worth $50,000, were sold

so, we get equation as

25x+50y=50000

we get system of equations as

x+y=1250

25x+50y=50000..............Answer


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Answer:

About Points

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M = (-2,0)      Midpoint | SP |

P = (3,5)        one end of the segment | SP |

You have to draw Cartesian.

we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .

We use the information that | SM | = | MP |

Answer : S = (-7,-5)

Step-by-step explanation:

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The sum of two numbers is 19 and their difference is 5.<br> What are the two numbers?
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Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first write down the equation we are going to solve.

( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6

To begin with, we will expand the brackets => [ ]

( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6

Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.

( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12

Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).

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h = - 18 / - 3

h = 18 / 3

h = 6

FINAL ANSWER:

Therefore, the answer is:

h = 6

Hope this helps! :)
Have a lovely day! <3
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