Paulette has $140 in $5 and $10 bills. The number of $10 bills is one less than twice the number of $5 bills. How many of each does she have?

Provide your answer below

?=$ 10 bills ?=$5 bills

Respuesta :

this needs a system

140=5x+10y

y= 2x-1

Now subsitute 2x-1 in for y

140=5x +10(2x-1)

140 = 25x -10

bring over the 10

150 = 25x

the divide

x = 6

now substitue x in in 2x-1

2(6) -1 = 11

there you have it, you have 6 five dollar bills and 11 ten dollar bills.

The number of the $10 bill will be 11 and the number of the $5 bill will be 6.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Paulette has $140 in $5 and $10 bills.

The number of $10 bills is one less than twice the number of $5 bills.

Let the number of the $10 bill be x and the number of the $5 bill be y. Then the equation will be

10x + 5y = 140 ...1

x = 2y - 1 ...2

By solving equations 1 and 2, then we have

x = 11 and y = 6

Thus, the number of the $10 bill will be 11 and the number of the $5 bill will be 6.

More about the linear system link is given below.

https://brainly.com/question/20379472

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