A bank teller was asked to cash a check for $260 with three times as many one-dollar bills as five&#

A bank teller was asked to cash a check for $260 with three times as many one-dollar bills as five%26#039;s and half as many tens as five%26#039;s. What denominations of cash should the teller have given?

A bank teller was asked to cash a check for $260 with three times as many one-dollar bills as five%26#039;s and halfcredot siosse

x = 1%26#039;s

y = 5%26#039;s

z = 10%26#039;s

x = 3y; y = x/3

y = 2z; z = y/2

x = 6z; z = x/6

x + 5y + 10z = 260

x + 5x/3 + 10x/6 = 260

x + 10x/3 = 260

3x + 10x = 780

13x = 780

x = 780/13

x = 60

60 1%26#039;s, 20 5%26#039;s, 10 10%26#039;s

Check: 60 + (20 脳 5) + (10 脳 10) = 260

A bank teller was asked to cash a check for $260 with three times as many one-dollar bills as five%26#039;s and half

loan

x = number of fives

3x= number of ones

x/2 = number of tens

Now take the number of each bills multiplied by their value to get the equation to solve.

5(x)+(3x)+10(x/2) = 260

5x+3x+5x=260

13x=260

x=20

so putting that value into the expressions listed first:

number of fives = x = 20

number of ones = 3x = 3(20) =60

number of tens = x/2 = 20/2 = 10|||x=# ones

y=# fives

z=# tens

x=3y

y=2z (change this to z=y/2)

and

x+5y+10z=260

3y+5y+10(y/2)=260

8y+5y=260

y=20

x=3y=60

z=y/2=10

so ten $10 and twenty $5 and sixty $1

100+100+60=260, so it works