SOLUTION: A convention manager finds that she has $1100 made up of twenties and fifties. She has a total of 37 bills. How many fifty-dollar bills does the manager have?

Question 416688: A convention manager finds that she has $1100 made up of twenties and fifties. She has a total of 37 bills. How many fifty-dollar bills does the manager have?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
$20 bill - x numbers
$50 bill - y numbers
x+y = 37
20x+50y =1100
x+y=37 .............1
20x+50y =1100.............2

multiply (1)by -20
Multiply (2) by 1
-20x-20y=-740
20x+50y =1100

Add the two equations

30y=360
/30

y=12 $30 bills
Plug value of y in
x+y= 37
x+12=37
x=25 $20 bills

RELATED QUESTIONS
A convention manager finds that she has a $1220 made up of twenties and fifties. She has (answered by checkley77)

A convention manager finds that she has $1,390 made up of twenties and fifties. She has a (answered by jorel1380)

A convention manager finds that she has $1430, made up of twenties and fifties. (answered by Alan3354,josgarithmetic)

A convention manager finds that she has $1440 made up of twenties and fifties. She has a... (answered by josgarithmetic)

A convention manger finds that she has $1540, made up of twenties and fifties. She has a... (answered by JulietG)

Write an algebraic expression for each of the quantity being compared. Jennifer has a... (answered by Boreal)

Jennifer has a large sum of money in hundred dollar bills, fifty dollar bills, ten... (answered by jim_thompson5910)

Lauren has $1000 made up of only ten and twenty dollar bills. She has a total of 75... (answered by KnightOwlTutor)

Translate the following application into a system of linear equations, but do not solve. (answered by greenestamps)