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Yuri [45]
3 years ago
9

two families go to a theatre. the smith family three adults and four children pays £67. the jones family five adults and six chi

ldren pays £106.work out the price of an adult and child ticket, let a stand for adults and c stand for child
Mathematics
1 answer:
White raven [17]3 years ago
6 0
1.)    5 (3a + 4c = 67)  
2.)    -3 (5a + 6c = 106)

1.)    15a + 20c = 335
2.)    -15a - 18c = -318
_____________________
                     2c = 17
divide both sides by 2
c = £8.5
substitute c for 8.5 to find a

3a + 4 * 8.5 = 67
3a + 34 = 67
subtract 34 from both sides
3a = 33
divide both sides by 3
a = <span>£</span>11


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Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

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here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

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the zeros are:

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verify:

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now the polynomial quadratic is:

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