Math question please answer thankss

Answer:

Let x = # of adult tickets sold (at $4.00 each)

Let y = # of child tickets sold (at $2.00 each)

We can take the above information, along with the 2000 tickets sold and the $6,400 collected, to get the following two math statements:

x + y = 2000    (Total unknown number of $4.00 + total unknown number of $2.00 tickets, equals a total of 2,000 tickets sold

4x + 2y = 6400  ($4.00 * unknown number of $4.00 tickets + $2.00 * unknown number of $2.00 tickets, equals the total of $6,400 collected in ticket sales

So, write these as:

x + y = 2000

4x + 2y = 6400

Take the first equation:  Turn it into a y= statement, by subtracting 'x' from both sides, to get:

y = 2000 - x

Next, go to the 2nd equation.  Where you see the 'y', substitute the y-value in its place:  '2000 - x'

This gives you:

4x + 2 (2000 - x) = 6400

This then gives us:  4x + 4000 -2x = 6400

Collect like terms to get:

2x + 4000 = 6400

Subtract 4000 from both sides to get:

2x = 2400

Next, divide both sides by 2, to get x = 1200

We now know that there were 1,200 adult ($4.00) tickets sold; put this information back into the original equation:

1200 + y = 2000

Next, subtract 1200 from both sides, so that we can solve for y; which is:

y = 800

Next, check our work, by substituting back into the two original equations:

1200 + 800 = 2000    [Check]

4 * 1200 + 2 * 800 = 4800 + 1600 + 6400    [Check]

So:  1,200 tickets sold at $4.00 each; and 800 tickets sold at $2.00 each, final and correct answer.

Answer:

Step-by-step explanation:

we have

Substitute the values of and in the expression to evaluate

Answer:

dimes = 12, quarters =5

Step-by-step explanation:

Let x stand for quarters. So if there are two more than twice as many dimes than quarters than it would look something like

d = 2x+2

q = x

Now multiply them by the value of the coin, to get them into cents. So you'd multiply dimes by twn (2x+2*10) which is equal to 20x+20. Multiply quarters by 25. x*25=25x

Now make an equation. 20x+20+25x=245

45x=225

x=5

q = 5

d = 12

x+10=114

114-10=x

x=104

answer: n + 10 = 114 (n = 104 if this is needed)

work:

let's analyze the equation.

a number increased by 10 is 114

let's use n to represent this number.

a number increased by 10 is 114

let's add 10 to our number, n + 10

a number increased by 10 is 114

so, our equation equals 114. n + 10 = 114.

to find n, just subtract 10 from 114.

114 - 10 = 104

so, that completes and solves your equation, hope this helps and have a great day!