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grigory [225]
3 years ago
8

Andy is buying a car.

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

The amount payed each month by Andy is £ 504

<u>Solution:</u>

Given that, Andy is buying a car.  

He negotiated a 7 percent decrease on a 6500 car.

Then, amount to be paid = 6500 – 7% of 6500  

\begin{array}{l}{\text { Amount to be paid }=6500 \times\left(1-\frac{7}{100}\right)} \\\\ {=6500 \times \frac{100-7}{100}=6500 \times \frac{93}{100}} \\\\ {\text { Amount to be paid }=65 \times 93=6045}\end{array}

He will pay the full balance in 12 equal monthly payments.

We have to calculate the amount paid each month

\begin{array}{l}{\text { monthly payment }=\frac{\text {total amount to be paid}}{12 \text { months }}} \\\\ {=\frac{6045}{12}=503.75}\end{array}

Hence, Andy has to pay £ 504 approximately each month.

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Answer:

a = 242  adult and  c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

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Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total  amount children is 1.75c because the number of children  are not given

Total receipts $635.50.

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2.25a + 1.75c = 635.50     <em>does not change           </em>2.25a + 1.75c =  635.50

<em>Add these equations together</em>

-1.75a - 1.75c = - 514.50

<u><em> </em></u><u>2.25a + 1.75c =  635.50    </u>

<em> </em> .50a              =   121.00

   a = 121.00/.50a

   a = 242  adult

a + c = 294

242 + c = 294

         c = 294 - 242

          c = 52 children

Check:    $2.25(242) + $1.75( 52) = $635 .50

              $544.50 + $91.00 =  $635.50

                   $635.50 = $635.50

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