Linear equation word problem

[hem]

The question and the answer to the question is said to be 'e'

My solution which i attempted was something like this

Let the number of 5 dollars be x
Number of 10 be 3x
And number of 20 be 1/3 *x which is is x/3

So 5.x+10. x. 3+20 . x/3=875

5x+30x+ 20x/3=875

35x . 3+ 20x/3- 125x



The ultimate answer is 875/125 which shows x is equal to 7 but the answer is something else can some please help?

 

[Dr.Peterson]

35x . 3+ 20x/3- 125x

Please check (or explain) this line. How did you get it?

 

[hem]

Please check (or explain) this line. How did you get it?

35x is multiplied by the denominator 3 so as to have the same denominator for both 35x and 20x and in order to add it to 20x which gives the result as 125x

 

[hem]

Sorry for the trouble I see that I did not follow the reciprocal rule

 

[Dr.Peterson]

35x is multiplied by the denominator 3 so as to have the same denominator for both 35x and 20x and in order to add it to 20x which gives the result as 125x

That's not what you wrote; you didn't even write an equation.

Did you forget to multiply both sides by 3?

 

[hem]

That's not what you wrote; you didn't even write an equation.

Did you forget to multiply both sides by 3?

Ill post a pic just some time, new to this site so might be a little handicapped in typing symbols appropriately apologies

 

[hem]

That's not what you wrote; you didn't even write an equation.

Did you forget to multiply both sides by 3?

This was more or less the situation. Sorry for the trouble a silly mistake.

 

[lookagain]

Let the number of 5 dollars be x
Number of 10 be 3x
And number of 20 be 1/3 *x which is is x/3

So 5.x+10. x. 3+20 . x/3=875

5x+30x+ 20x/3=875

hem, a dot/decimal point is not a good symbol for use of a product. The integer constant immediately
next to the variable on its left side is sufficient to indicate the product. Your "let statements" need to
be accurate, consistent, and complete.

Let x = the number of $5 bills.
Let 3x = the number of $10 bills.
Let (1/3)x = x/3 = the number of $20 bills.

5(x) + 10(3x) + 20(x/3) = 875

5x + 30x + 20x/3 = 875
.
.
.

 

[hem]

hem, a dot/decimal point is not a good symbol for use of a product. The integer constant immediately
next to the variable on its left side is sufficient to indicate the product. Your "let statements" need to
be accurate, consistent, and complete.

Let x = the number of $5 bills.
Let 3x = the number of $10 bills.
Let (1/3)x = x/3 = the number of $20 bills.

5(x) + 10(3x) + 20(x/3) = 875

5x + 30x + 20x/3 = 875
.
.
.

I am really sorry, new to this site will be more accurate henceforth.

 

[blamocur]

I am really sorry, new to this site will be more accurate henceforth.

Making mistakes is not against this forum rules IMHO, that is the best way to learn.