If 65 people attend a concert and tickets for adults cost $2.75 while tickets tickets for children cost $1.75 and total receipts for the concert was $147.75, how many of each went to the concert?

34 adults, 31 children

Step-by-step explanation:

First, we need to get an equation that shows how many adults (x) and children (y) attended.

1. x + y = 65

Now we need an equation that gives the total cost of the concert tickets.

$2.75x + $1.75y = $147.75

Now, using the method of elimination, we will multiply the first equation by -1.75 and add it to the second equation to eliminate a variable.

-1.75x - 1.75y = -113.75

2.75 + 1.75 = 147.75

x = 34

Now, we know how many adults went to the concert. We can now solve for how many children went.

34 + y = 65

-34         -34

y = 31

31 children went to the concert.

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(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

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