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!