SOLUTION: Tickets for the father and son breakfast were 2 dollars for fathers and 1.50 dollars for sons. If a total of of 75 tickets were sold for 127.50 dollars, how many fathers and how ma
Algebra.Com
Question 566545: Tickets for the father and son breakfast were 2 dollars for fathers and 1.50 dollars for sons. If a total of of 75 tickets were sold for 127.50 dollars, how many fathers and how many sons attended the breakfast?
Found 3 solutions by stanbon, mananth, radium:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tickets for the father and son breakfast were 2 dollars for fathers and 1.50 dollars for sons. If a total of of 75 tickets were sold for 127.50 dollars, how many fathers and how many sons attended the breakfast?
---------------------------------
Equations:
f + s = 75 tickets
2f+1.5s = 127.50
---------
Multiply thru the 1st by 2 to get:
2f + 2s = 150
2f +1.5s = 127.50
-----
Subtract and solve for "s":
0.5s = 22.5
s = 45 (# of son's tickets sold)
-----
Solve for "f":
f + s = 75
f + 45 = 75
f = 30 (# of father's tickets sold)
=====================================
Cheers,
Stan H.
========================
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Fathers x
Sons y
1 x + 1 y = 75 .............1
2 x + 1.5 y = 127.5 .............2
Eliminate y
multiply (1)by -1.5
Multiply (2) by 1
-1.5 x -1.5 y = -112.5
2 x 1.5 y = 127.5
Add the two equations
0.5 x = 15
/ 0.5
x = 30
plug value of x in (1)
1 x + 1 y = 75
30 + 1 y = 75
1 y = 75 -30
1 y = 45
y = 45
Fathers 30
Sons 45
m.ananth@hotmail.ca
Answer by radium(1) (Show Source): You can put this solution on YOUR website!
This can be solved with 1 variable as well!
The equation
---------------
1.5x + 2.00(75 - x) = 127.5
We let x represent the number of sons tickets. We know that that the number of father tickets must be (75 - x). We know that the sons tickets are $1.50 each and the fathers tickets are $2.00 each. So we arrange our equation accordingly.
1.5x + 2.00(75 - x) = 127.5.
Using the distributive property we get: 1.5x + 150 - 2x = 127.5
Combining like terms gives us: -.5x=-22.5
Dividing both sides by -.5 gives us: x = 45
45 of sons tickets were sold, to find the amount of fathers we simply subtract 45 from 75 which gives us 30, the amount of fathers tickets sold.
RELATED QUESTIONS
Tickets for the father-and-son breakfast were $5.00 for fathers and $3.50 for sons. If a... (answered by josgarithmetic)
Tickets for a train ride were $120 for a sleeping room, $80 dollars for a berth, and $50... (answered by ankor@dixie-net.com)
525 tickets were sold for a game for a total of $987.50. If adult tickets sold for $2.50... (answered by ikleyn)
The total number of people at a football game was 5600. Field-side tickets were 40... (answered by richwmiller)
The total number of people at a football game was 5600. Field-side tickets were 40... (answered by richwmiller)
Community centers of a total of 302 tickets for baseball game an adult ticket cost three... (answered by josgarithmetic,ikleyn)
A theater sold 1600 tickets for Friday night’s performance. One child ticket costs... (answered by Alan3354,ikleyn)
A group of 14 people spent 28 dollars for admission tickets to Cinema One. The theatre... (answered by excellentsolutionas)
A school that sells tickets to its variety night sells adult tickets for 10 dollars and 7 (answered by josgarithmetic)