Respuesta :
Let's check. 6 one-dollars = $6 15 five-dollars = $75 9 ten-dollars = $90 Add them all up to get $171, so that is correct. Add the number of one-dollar bills and the number of ten-dollar bills together. 6 + 9 = 15, which is the number of five-dollar bills, so that is correct as well. Add all the numbers of bills together, 6 + 9 + 15 = 15 + 15 = 30, so that is correct
Answer:
She has 6 one dollar, 15 five dollar and 9 ten dollar of bills in her wallet.
Step-by-step explanation:
Consider the provided information.
Ms. Thompson has one-dollar, five-dollar, and ten-dollar bills, totally $171.
Let x represents the number of one dollar bills.
y represents the number of five dollar bills.
z represents the number of ten dollar bills.
She had one-dollar, five-dollar, and ten-dollar bills, totally $171.
[tex]1x + 5y + 10z =171[/tex]......(1)
She has the same number of five-dollar bills as one-dollar and ten-dollar bills put together.
[tex]y=x+z[/tex].....(2)
She has 30 bills in all.
[tex]x+y+z=30[/tex] ......(3)
Substitute the value of x+z in equation 3.
[tex]y+y=30[/tex]
[tex]y=15[/tex]
Substitute the value of y in equation 2
[tex]15=x+z[/tex]
[tex]15-x=z[/tex] ......(4)
Substitute the value of y and z in equation 1.
[tex]1x + 5(15) + 10(15-x) =171[/tex]
[tex]x + 75 + 150-10x=171[/tex]
[tex]54=9x[/tex]
[tex]x=6[/tex]
Now substitute the value of x in equation 4.
[tex]15-6=z[/tex]
[tex]9=z[/tex]
Hence, she has 6 one dollar, 15 five dollar and 9 ten dollar of bills in her wallet.