Thread: Formulating an equation

A man goes to the bank with a $260 check.
He tells the teller he needs 3 times the amount of dollar bills
as much as 5 dollar bills and half as much of the 5 dollar bills
in 10 dollar bills.

Need desparate help to solve this.

Originally Posted by Franc

A man goes to the bank with a $260 check.
He tells the teller he needs 3 times the amount of dollar bills
as much as 5 dollar bills and half as much of the 5 dollar bills
in 10 dollar bills.

Need desparate help to solve this.

x = number of $1 bills, y = number of $5 bills, z = number of $10 bills.

Solve simultaneously:

x = 3y .... (1)

y = z/2 .... (2)

x + y + z = 260 .... (3)

Originally Posted by Franc

A man goes to the bank with a $260 check.
He tells the teller he needs 3 times the amount of dollar bills
as much as 5 dollar bills and half as much of the 5 dollar bills
in 10 dollar bills.

Need desparate help to solve this.

This is what I think you have stated:

Let x = number of $5 bills

Let 3x = number of $1 bills

Let (1/2) x = number of $10 bills

x + 3x + (1/2) x = 260

You should now be able to complete.

Edit: I'm gettin' 'em in too slowly tonight!

Let's be x-number of $5 bills, then number of $1 bills will be 3x, and $10 bills x/2. Now let's count the money; $5 *x+ $1 * 3x+ $10 * x/2=260; 5x+3x+5x=260; 13x=260; x=20. Answer: there are 20 $5 bills, 60 $1 bills, 10 $10 bills. Checking: 20*5+60+10*10=260