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FrozenT [24]
4 years ago
9

tickets to a play cost 5 dollars for adults and 2 dollars for children. if 1750 tickets were sold for a total of 7100 dollars, h

ow many childrens ticket were sold
Mathematics
1 answer:
Sever21 [200]4 years ago
8 0
Let x = number of adults tickets sold
then, 1750 - x = number of children tickets sold

We know that the cost for adult tickets is $5 and and children is above calculated so sum total tickets sold cost is $7100.

($5)(x) + ($2)(1750-x) = $7100
5x - 2x + 3500 = 7100
3x = 3600
x = 1200

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Vadim26 [7]
ANSWER

Paul and Matt will take
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EXPLANATION

First, calculate Paul's rate, which is

= \frac{1}{18}

Next, calculate Matt's rate, which is,
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Let us assume that, Paul and Matt took
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Then, the rate of working together is,

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Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

\frac{1}{18} + \frac{1}{22} = \frac{1}{x}

Simplify the left hand side

\frac{11 + 9}{198} = \frac{1}{x}

\frac{20}{198} = \frac{1}{x}

We reciprocate both sides to get (You could have also done cross multiplication).

\frac{198}{20} = \frac{x}{1}

x = 9.9 \: hours
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