SOLUTION: Can someone help me solve this word problem A cashier has a total of 89 bills, made up of tens and fifties. The total value of the money is $2850. How much of each kind does

Algebra.Com
Question 861722: Can someone help me solve this word problem

A cashier has a total of 89 bills, made up of tens and fifties. The total value of the money is $2850. How much of each kind does he have?

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be tens and y be fifties, then
x + y = 89
10x + 50y = 2850
solve first equation for x
x = 89 - y
substitute for x in second equation
10(89-y) + 50y = 2850
890-10y +50y = 2850
40y = 1960
y = 49
substitute for y in first equation
x + 49 = 89
x = 40
there are 40 tens and 49 fifties
substitute in second equation to check answer
10(40) + 50(49) = 2850
400 + 2450 = 2850
2850 = 2850
our answer checks :-)

RELATED QUESTIONS

a cashier has a total of 125 bills made up of fives and tens. The total value of the... (answered by nerdybill)
A cashier has a total of 132 bills, made up of fives and tens. The total value of the... (answered by ewatrrr)
A cashier has a total of 105 bills, made up of tens and hundreds. The total value of the... (answered by Fombitz,stanbon)
a cashier has a total of 122 bills, made of fives and tens. the total of the money is... (answered by msgmhenderson,Fombitz)
A cashier has a total of 126 bills, made up of fives and tens. The total value of the... (answered by drj)
A cashier has a total of 126 bills, made up of fives and tens. The total value of the... (answered by stanbon)
A cashier has a total of 94 bills, made up of tens and twenties. The total value of the... (answered by math_helper)
A cashier has a total of 90 bills,made up of fives and tens. The totL value of the money... (answered by Edwin McCravy)
A convention manager finds that she has a $1220 made up of twenties and fifties. She has (answered by checkley77)