The owner of a movie theater was counting the money from one day's ticket sales. He knew that a total of 150 tickets were sold. Adult tickets cost $7.50 each and children's tickets cost $4.75 each. If the total receipts for the day were %891.125, how many of each kind of ticket was sold?
i need help with this problem, i don't know how to figure it out. u don't hav 2 giv the answer just explain 2 me how i should do it.
2007-01-28 21:05:05 · 8 answers · asked by ally 2 in Science & Mathematics ➔ Mathematics
u can use simultateous equations(:
form 2 equations to solve it.
for a start, i will give u
x+y=150
2007-01-28 21:11:14 · answer #1 · answered by pigley 4 · 0⤊ 0⤋
C is the number of childrens tickets
A is the number of adult tickets
You know you sold 150 tickets in total so C + A = 150
You know adult tickets sold for $7.50, so you get 7.5A income from the sale of adult tickets.
In the same way, you get 4.75C income from the sale of child tickets
So 7.5A + 4.75C = Total income
Your total income doesn't make sense though, as you can't have fractions of cents.
Once you have your total income you can use the two equations as simultaneous equations and solve (in this case I would solve by substitution)
2007-01-29 05:16:50 · answer #2 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
%891.125 comes from $891.25
% is near $ on the keyboard and '1' has been typed twice.
Assume all people were adults
This would make a total receipt of $7.5*150=$1125
Too much.
The error is $1125 - $891.25 = $233.75
It comes from assuming all people were adults
In fact some of the people were children and paid $7.5 - $4.75 = $2.75 less
So $233.75/$2.75 = 85 children and 150 - 85 = 65 adults
Use this if you don't have to know what an equation means but you have to solve the problem
2007-01-29 05:35:02 · answer #3 · answered by Serban 2 · 0⤊ 0⤋
total receipts is a percentage? or a dollar amount... if its a percentage then I don't know what to look for in the problem. If its a dollar amount then how do you get .125 Are you sure you asked it right?
The formula is X(7.50) + Y(4.75) = 891.25
X+Y=150. That's all the info you've given.
If that is what you are looking for.
2007-01-29 05:22:54 · answer #4 · answered by closetcoon_fan 5 · 0⤊ 0⤋
Very good start pigley.
and then.. what is the relationship between the adult and the child's ticket???
7.50x + 4.75y = ? keep going student.
THIS STUDENT COULD BE FROM a country where the dot is the English comma $891,125.00. One whopping big day at the cinema?
2007-01-29 05:16:43 · answer #5 · answered by Blues Lovin' Daddy 6 · 0⤊ 0⤋
Just figure that there is at least one or two children per adult. Start with one child first and if that answer doesn't match then its probably two. And just divide the price into the whole amount of each cost and you'll find your answer.
2007-01-29 05:14:22 · answer #6 · answered by Deb 2 · 0⤊ 1⤋
x is the number of adult tickets
y is the number of children's tickets
7.50*x+4.75*y = 891.125
and
x+y = 150
Adults 72 and children 78
2007-01-29 05:19:00 · answer #7 · answered by Robert 2 · 0⤊ 0⤋
suppose x tickets were sold of adult and y were of childrens
so, x+y=150
and 7.5x+4.75y=891.25
now solve them
2007-01-29 05:16:56 · answer #8 · answered by Pradeep Chelani 2 · 0⤊ 0⤋