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guajiro [1.7K]
2 years ago
5

Seventy concert tickets were sold for $550. each adult ticket cost $9 and each childrens ticket cost $5. find the number of adul

t tickets and the number of childrens tickets sold
put the equations to :)
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
5 0

Answer:

Total tickets = 70

Total cost = $550

Adult's ticket = $9

Child's ticket = $5

Difference = 9 - 5 = $4

Assume all 70 are child's tickets

5 x 70 = 350

But the total cost was 550

550 - 350 = $200

The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50

So there are 50 adult's tickets.

70 - 50 = 20

And there are 20 child's tickets.

Hope this helps - Itz.Jordan

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Step-by-step explanation:

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The width used for the car spaces are taken as a multiples of the width of

the compact car spaces.

Correct response:

  • The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>

Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.

We have;

Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)

New space design = 16·x + 9×(a·x) = x·(16 + 9·a)

When the dimensions of the initial and new arrangement are equal, we have;

10 + 12·a = 16 + 9·a

12·a - 9·a = 16 - 10 = 6

3·a = 6

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Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;

10 + 12·a < 16 + 9·a

Which gives;

x·(10 + 12·a) < x·(16 + 9·a)

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2 years ago
4 3/4 divided by 1 1/6
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Answer:

2\frac{13}{22}

Step-by-step explanation:

=\frac{19}{4}\div \frac{11}{6}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}

=\frac{19}{4}\times \frac{6}{11}

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\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

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\mathrm{Multiply\:the\:numbers:}\:19\times \:3=57

=\frac{57}{2\times \:11}

\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22

=\frac{57}{22}

=2\frac{13}{22}

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2 years ago
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