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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 ticket was $8.50. $7300 was spent In total. How many tickets of each were bought?

Respuesta :

calculista

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

[tex]x+y=1,000[/tex]

[tex]x=1,000-y[/tex] -----> equation A

[tex]4.50x+8.50y=7,300[/tex] -----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]4.50(1,000-y)+8.50y=7,300[/tex]

solve for x

[tex]4,500-4.50y+8.50y=7,300[/tex]

[tex]4y=7,300-4,500[/tex]

[tex]4y=2,800[/tex]

[tex]y=700[/tex]

Find the value of x

[tex]x=1,000-700=300[/tex]

therefore

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

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