concert tickets are for sale online. there is a handline fee of $3.50 added to the cost of every tickets. if you uy 7 tickets and the total comes to $385 what is the cost of one ticket before the handling fee is added?
the answer is $51.50 but i got 51 i dun know why i solve it like this (below)
7x+3.50= 385
7x=381.5
x=54.5
54.5-3.50 = i got 51
The equation is
7x = 385 - 7(3.50)
7x = 385 - 24.50
7x = 360.50
x = 51.5
EACH ticket has a 3.50 service fee
how about this equation? is this right??
7x=380
x=55
55-3.50
=51.5
Well, you arrived at the same answer, but the equation is not correct for the problem.
Your equation doesn't make sense.
Where did you get 380?
380/7 = 54.29 not 55, even rounded it would be 54 or 54.30 not 55.
And, it is 3.50 fee/ticket.
You can't randomly subtract 3.50 from your total just to arrive at the correct answer.
What's wrong with doing the equation the correct way?
To solve this problem correctly, you correctly set up the equation:
7x + 3.50 = 385
However, the mistake occurred when you calculated the value of x.
When you subtracted 3.50 from 54.5, you obtained 51. That is why you arrived at the incorrect answer.
To get the correct answer, you need to divide both sides of the equation by 7:
7x / 7 + 3.50 = 385 / 7
Simplifying the equation, you have:
x + 3.50 = 55
Next, subtract 3.50 from both sides:
x + 3.50 - 3.50 = 55 - 3.50
Simplifying further:
x = 51.50
Therefore, the cost of one ticket before the handling fee is added is $51.50, not $51 as you calculated erroneously.