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Alex Ar [27]
11 months ago
8

Josie sold 790 tickets to a local car show for a total of $4,390.00. A ticket for a Child costs $4.00 and adult ticket costs $7.

00. How many of each ticket did she sell? A) Children’s ticket? B) Adult Ticket?
Mathematics
1 answer:
Papessa [141]11 months ago
3 0

Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

7(790-C)+4c=4,390

From that, we can solve "C" by solving the equation formed above.

\begin{gathered} \text{Distribute 7 to the terms inside the parenthesis.} \\ 7(790)-7(C)+4C=4,390 \\ 5,530-7C+4C=4,390 \\ \text{Subtract 5,530 on both sides of the equation.} \\ -7C+4C=-1140 \\ -3C=-1140 \\ \text{Divide -3 on both sides.} \\ C=380 \end{gathered}

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

\begin{gathered} A=790-C \\ A=790-380 \\ A=410 \end{gathered}

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Answer:

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The increase in the cost for next year is calculated as:

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8 0
2 years ago
millicent earned $435 last year in interest. If $3000 was invested at a certain rate of return and $4500 was invested in a fund
tatiyna

Answer:

7% and 5%

Step-by-step explanation:

The computation of the two rates of interest is shown below;

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The total interest earned is

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8 0
3 years ago
How is this proportional?
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2 - 1.40 = 1.40

3 - 1.40 = 2.40

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4 0
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egoroff_w [7]
The correct answer is the first one(a): To get the system B,..., the first equation multiplied by 4...

Explanation:

1. Let us first multiple the first equation in System A with 4, we would get:
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=> 8x - 4y = 12 --- (A)

Now add the equation (A) and the second equation of System A:

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------------------
11x = 22 

Hence,
System B:
2x - y = 3
11x = 22

-i
5 0
3 years ago
Read 2 more answers
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