Question 18 (1 point) Cory has 524 more than twice as much as Stan Together they have $150 How
much money does cach have?

here example

Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have?

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with Stan first - this is the easiest. Let x = Stan

To get the part for Cory - he has $24 more than twice the amount of Stan, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)  

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:  

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24  

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126  

3              3

x    =   42

Now that you have solved for x, you know the amount that Stan has... $42

With this information you can substitute 42 for x in the equation that was created for Cory

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that Stan has is $42 and Cory has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺