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meriva
3 years ago
13

A total of 925 tickets were sold for a game for a total of $1150. If adult tickets sold for $2 and children's tickets sold for $

1, how many of each kind of tickets were sold ?
Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer:

  • Adult: 225
  • Children: 700

Step-by-step explanation:

If all had been children's tickets, revenue would have been $925. Actual revenue is $1150 -925 = $225 more than that. Changing a child's ticket to an adult's ticket add $1 to the revenue, so there must be $225 such changes.

The number of adult tickets is 225; the number of children's tickets is 925-225 = 700.

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
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Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

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<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

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Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

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