3 years ago

3y - 12x =20 function form?

Mathematics

1 answer:

alisha [4.7K]3 years ago

6 0

3y - 12x = 20

3y = 20 + 12x

y = (20/3) + 4x

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1000 tickets were bought at a concert. the amount needed to buy a children’s ticket was $4.50 and the amount needed for an adult

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Answer:

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

Step-by-step explanation:

Let

x ----> the number of children's tickets bought

y ----> the number of adult tickets bought

we know that

$x+y=1,000$

$x=1,000-y$ -----> equation A

$4.50x+8.50y=7,300$ -----> equation B

Solve the system by substitution

substitute equation A in equation B

$4.50(1,000-y)+8.50y=7,300$

solve for x

$4,500-4.50y+8.50y=7,300$

$4y=7,300-4,500$

$4y=2,800$

$y=700$

<em>Find the value of x</em>

$x=1,000-700=300$

therefore

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

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