a video game system and several games are sold for $652. the cost of the games is 3 times as much as the cost of the system find the cost of the system and the cost of the gmaes

Question

anonymous · Answer

2,608 because you have to do it 3times so add 652 three times and then add another 652 and then you have you answer

anonymous · Answer

ok thanks, but i thought I had to divde 652 by 3

anonymous · Answer

oh wait yes sorry you do have to divide i read the ? wronge

anonymous · Answer

o so what do i do

mathlegend · Answer

So, I read it like this... System + Games = $652

mathlegend · Answer

S + G = 652

G = 652-S

mathlegend · Answer

Just so I can solve for Games...

mathlegend · Answer

Since they said that games cost 3 times more than the system...

mathlegend · Answer

If we distribute what do we get?

anonymous · Answer

um what step do I do first

mathlegend · Answer

G = 3(652-G)

So we distribute...
Meaning what is inside the parenthesis gets multiplied by the 3.

mathlegend · Answer

So what do you get @Taisha_Casseus ?

anonymous · Answer

you get 1956 when 3 is  multiplied by 652

mathlegend · Answer

Good..

mathlegend · Answer

G = 1956 - 3G

Now, solve for G.

anonymous · Answer

1953

mathlegend · Answer

No... to solve for G we need get the terms with G on one side of the equal sign... and leave the regular number (1956) on one side of the equal side.

mathlegend · Answer

Lets move that 3G to the other side....

G   = 1956 - 3G
+3G           +3G
----------------
4G = 1956

anonymous · Answer

I am sorry I still dont get it

mathlegend · Answer

This is solving an equation.... we must combine like terms.

mathlegend · Answer

1G = 1956 - 3G

mathlegend · Answer

Do you understand why I moved the term with the G over??

anonymous · Answer

because 1G nd 3G is not like, but i kno thats not why

mathlegend · Answer

Both have a G attached to them... so they are like terms

anonymous · Answer

then um no i do not kno  can u explain please

mathlegend · Answer

3b + 4a

Are not like terms... because the letter attached to the number is not the same... understand?

anonymous · Answer

yeah i get that

mathlegend · Answer

To move something to the other side... you must do the operate operation... the -3G... you see the minus sign is subtraction so we must add to move it to the other side.

G   = 1956 - 3G
+3G           +3G
----------------
4G = 1956

anonymous · Answer

ok but y is there a minus sign

mathlegend · Answer

That is from the beginning...

mathlegend · Answer

S + G = 652

G = 652 - S

anonymous · Answer

so G=1956
and S=651

mathlegend · Answer

No... we haven't even solved that equation yet.

anonymous · Answer

wait so G is not 1956, ok I am really confused right now

mathlegend · Answer

G   = 1956 - 3G
+3G           +3G
----------------
4G = 1956

Now you must divide by 4 on both sides... since 4G represents multiplication you do the opposite and divide.

1956/4 = 489

Understand?

anonymous · Answer

ok i get that you do the opposite of the sign

mathlegend · Answer

So since we solved the equation...

G = $489
Games

mathlegend · Answer

So now you can divide that by 3... to get your answer for how much 's' the System costs...

mathlegend · Answer

489 / 3 = 163

mathlegend · Answer

Game = $489
System = $163

anonymous · Answer

S=163

anonymous · Answer

I kinda of get it now thanks, but question is there an easier way to solve the problem

mathlegend · Answer

Honestly, I do not know of a more simple way.

anonymous · Answer

ok thanks that really did help