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attashe74 [19]
3 years ago
5

200 tickets for a concert are sold for a totalof £720 tickets cost £5 for adults and £3 for children how many tickets of each ty

pe are sold?
Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

  • 60 adult tickets
  • 140 children's tickets

Step-by-step explanation:

Let "a" represent the number of adult tickets sold. Then the total revenue is ...

  5a +3(200-a) = 720

  2a +600 = 720 . . . . . . simplify

  2a = 120 . . . . . . . . . . . . subtract 600

  a = 60 . . . . . . . . number of adult tickets sold

  200-a = 140 . . . number of tickets for children sold

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Answer:

Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.

General Formulas and Concepts:
<u>Algebra I</u>

Compounded Interest Rate Formula: \displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}

  • <em>A</em> is final amount
  • <em>P</em> is principle amount
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>P</em> = $47,323.15

<em>r</em> = 0.05

<em>n</em> = 1

<em>t</em> = 3

<u>Step 2: Find Interest</u>

  1. [Compounded Interest Rate Formula] Substitute in variables:
    \displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}
  2. Evaluate:
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∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: brainly.com/question/27710663

---

Topic: Algebra I

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