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PIT_PIT [208]
3 years ago
14

At a charity fund raiser, adult tickets were sold for $11 each and children’s tickets were sold for $5 each. Write an algebraic

expression for the total amount of money raised from the sale of tickets. How much money was raised if the fund raiser sold 247 adult tickets and 390 children’s tickets? Let a= number of adult tickets and c= number of child tickets.
Mathematics
1 answer:
patriot [66]3 years ago
3 0

9514 1404 393

Answer:

  • 11a +5c
  • $4667

Step-by-step explanation:

If 'a' adult tickets are sold for $11 each, the amount of money they sold for is ...

  11a

If 'c' children's tickets are sold for $5 each, the amount of money they sold for is ...

  5c

Then the expression for the total amount from the sale of tickets is ...

  11a +5c . . . . total of money raised

__

The value of this expression for a=247 and c=390 is ...

  11·247 +5·390 = 2717 +1950 = 4667

A total of $4667 was raised by the sale of tickets.

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\bf n^{th}\textit{ term of an arithmetic sequence}\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;d=-3\\&#10;n=30\\&#10;a_{1}=65&#10;\end{cases}&#10;\\\\\\&#10;a_{30}=65+(30-1)(-3)\implies a_{30}=65-87\implies a_{30}=-22
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