BlackjackEd

Let the number of orders that were delivered on time be $a$.

$3.5a - 4.3(210-a) = 532.2$

  $3.5a-903+4.3a=532.2$

     $7.8a-903=532.2$

          $7.8a=1435.2$

               $a=184$

Now we should check our answers:

If $184$ orders were delivered on time, Peter would have

$184\times$3.5=$644$.

If there were $184$ orders that were on time, there were 

$210-184=26$ late orders.

We should now subtract 

$26\times$4.3=$111.8$

from Peter's $$644$.

$$644-$111.8=$532.2$

$184$ orders were delivered on time.

Wait hold on I'm a bit confused ... In what way is this geometry???

Greetings Guest!

Let the cost of a candy bar be x and the cost of a piece of bubble gum be y.

The total cost:

$x+y=1.5$

The candy bar costs a dollar more than the bubble gum. 
In other words,

$x=y+1$

Now, we can replace the value of x with the above equation so that the first equation contains only one variable:

$y+1+y=1.5$

Simplify and solve:

$2y+1=1.5$

$2y=1.5-1$

$2y=0.5$

$\frac{2y}{2}=\frac{0.5}{2}$

$y=0.25$

The piece of bubble gum costs 25 cents.

Hope this helped!

Let x be the largest integer.

First find the sum of the integers:

$x+(x-1)+(x-2)+(x-3)+(x-4)+(x-5)+(x-6)$

Simplify:

$7x-21$

Now, since the sum or 7x - 21 is 21 times the largest of the integers or x, we can solve for x:

$7x-21=21x$

$-21=14x$

$-1.5=x$

Now we know the largest of the integers is -1.5.

To find the smallest integer, all we need to do is subtract 6 from -1.5:

$-1.5-6=-7.5$

The smallest integer Pearl wrote down was -7.5.

Why would the man be hurt if the rock (under case) is next to him???

Oops, sorry, I didn't see your newer post!

Chances are 

$x=0$

Please tell me if I am wrong!