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Semmy [17]
3 years ago
10

There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $890. Ho

w many adults and how many children attended?
Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

Step-by-step explanation:

Number of adults = a

Number of children = c

Total people  = 430

a + c = 430 --------------(I)

Total amount =$890

3a + c =890 -----------(II)

Multiply equation (I) by (-1)

(I)*(-1)    -a - c = -430

(II)         <u>3a + c = 890</u>    {Now add and thus c will be eliminated}

           2a        = 460

a = 460/2

a= 230

Plug in the value of a in equation (I)

230 + c = 430

c = 430 - 230

c = 200

Number of adults = 230

Number of children = 200

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Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

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