Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,910, how many children attended the concert?

Question

jdoe0001 · Answer

a = amount of adults
c = amount of children

5 bucks per adult, sales for that will be 5 * a, or 5a
2 bucks per child, sales for that will be 2 * c, or 2c

so 630 people attended, adults and children summed up will be

$\bf \color{blue}{a + c = 630}$

so total sales was $2,910
so adult sales and children sales summed up will be

$\bf \color{blue}{5a + 2c = 2910}$
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from a + c = 630    we could solve for "a" and say that
$\bf a=\color{red}{  630 - c}$

so now we know that a = 630-c, so let us use that in the 2nd equation

$\bf \color{blue}{5(\color{red}{630-c}) + 2c = 2910}$

solve for "c" to find out how many children attended

anonymous · Answer

Thank you @jdoe0001

jdoe0001 · Answer

yw

anonymous · Answer

It was 80, so thank you again. Though my test crashed due to poor internet.