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Finger [1]
2 years ago
11

Children's tickets to a local play cost $\$1.50$ less than adult tickets. At one performance 325 children tickets and 175 adult

tickets were sold for a total of $\$3512.50$. How many dollars did an adult ticket cost?
Mathematics
1 answer:
svetoff [14.1K]2 years ago
5 0

Answer:

  $8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

__

<h3>setup</h3>

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

  a - c = 1.50 . . . . . . . adult tickets are $1.50 more

  175a +325c = 3512.5 . . . . . total revenue from ticket sales.

__

<h3>solution</h3>

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

  c = a -1.50

Substituting that into the second equation, we have ...

  175a +325(a -1.50) = 3512.50

  500a -487.50 = 3512.50 . . . . . . simplify

  500a = 4000 . . . . . . add 487.50

  a = 8 . . . . . . . . . divide by 500

An adult ticket costs $8.

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3 0
3 years ago
2+1.25f=10−2.75f solve for f
Inga [223]
Hey there!

2 + 1.25f = 10 - 2.75f
Add 2.75f to both sides.

1.25f + 2.75f = 4f

4f + 2 = 10
Subtract 2 from both sides.

4f = 8
Divide both sides by 4 to solve for f.

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I hope this helps!
6 0
3 years ago
Help please tell me what the answer is ASAP
Amiraneli [1.4K]

Answer:

The approximated length of EF is 2.2 units ⇒ A

Step-by-step explanation:

<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>

In the given figure

∵ The triangle DFE has a right angle F

∵ The opposite side to angle D is EF

∵ The adjacent side to angle D is DF

→ By using the tangent ratio above

∴ tan(∠D) = \frac{EF}{DF}

∵ DF = 6 units

∵ m∠D = 20°

→ Substitute then in the ratio above

∴ tan(20°) = \frac{EF}{6}

→ Multiply both sides by 6

∴ 6 tan(20°) = EF

∴ 2.183821406 = EF

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7 0
3 years ago
Please help.............
natta225 [31]

Answer:

...........

2(x + 2) + 2x = 20

6 0
3 years ago
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Anyone, please help me!!!​
lianna [129]

Answer:

Step-by-step explanation:

Hint:  1- 2sin²x = Cos 2x

LHS = 1 - 2Sin² (π/4 - Ф/2)

        =  Cos 2 *(π/4 - Ф/2)

        = Cos 2*π/4 - 2*Ф/2

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         = Sin Ф =  RHS

7 0
3 years ago
Read 2 more answers
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