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Alex787 [66]
4 years ago
10

for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac

h, tickets for adults cost $8 each, and tickets for senior citizens cost $5 each. There were twice as many children's tickets sold as adults. How many of each type of ticket were sold?
Mathematics
1 answer:
zloy xaker [14]4 years ago
6 0
Total tickets sold  = 800
Total revenue = $3775

Ticket costs:
$3  per child,
$8  per adult,
$5 per senior citizen.

Of those who bought tickets, let
x =  number of children 
y = number of adults
z = senior citizens

Therefore
x + y + z = 800                   (1)
3x + 8y + 5z = 3775           (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y                                (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y                        (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775                 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225  adults,
125 senior citizens.
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Answer:

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(c, d) = (25, 35)

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Answer:

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Step-by-step explanation:

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b - (-1)/8 + c = 2 - (-1)/8 - 7/4

Put 2 + 1/8 - 7/4 over the common denominator 8. 2 + 1/8 - 7/4 = (8×2)/8 + 1/8 + (2 (-7))/8:

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Ne4ueva [31]
The first step to find how many 1/4 inch segments are in 1 and 1/2 inches is to convert 1 and 1/2 into an improper fraction.
To do this, convert 1 into a fraction with the same denominator as 1/2, which is 2.
1 = 1/1
1/1 = 2/2
Now add 2/2, which is the same as 1, to 1/2.
2/2 + 1/2 = 3/2
So 1 and 1/2 = 3/2
Now multiply both the numerator and denominator by 2 so you can see how many times 1/4 goes into the fraction equivalent to 1 and 1/2.
3/2 = 6/4
1/4 goes into 6/4 6 times, since the numerator of 1 goes into the numerator of 6 6 times.

So the answer is that 6 1/4 inch segments are in 1 and 1/2 inches.
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4 years ago
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