Perry went on a long bike ride the straight-line distance between his starting point and is ending point with 25 Mi how could he have gotten this ending point​

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.

Jorja takes 1 minute 35 seconds more than Miguel to run one mile.

What is Subtraction?

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

Time taken by Jorja to run one mile = 9mins 13 secs

                                                            = 9 + 13/60 minutes

                                                            = 553/60 minutes

Time taken by Miguel to run one mile = 7 mins 38 secs

                                                               = 7 + 38/60 minutes

                                                               = 458/60 minutes

We have to subtract the time taken by Miguel from the time taken by Jorja to find the additional time etaken by Jorja.

Additional time taken by Jorja = 553/60 minutes - 458/60 minutes

                                                  = 95/60 minutes

                                                  = 1.583 minutes

                                                  = 1 minute 35 seconds.

Hence the additional time taken is 1 minute 35 seconds.

To solve more problems with Subtraction, click :

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