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Chapter 2: Q. 554 (page 218)

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?

Short Answer

Expert verified

Paulette have 6 number of $5 and 11 number of $10 .

Step by step solution

01

Step 1. Given Information.

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

Total Amount is $140 .

02

Step 2. System of equation.

Let the number of $5 be x and the number of $10 be y .

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

03

Step 3. Solving the system of equation

From equation (1) substitute the value of y in equation(2) , we get:-

5x+10(2x-1)=1405x+20x-10=14025x=140+1025x=150x=6

Now , Substitute the value of x=6in equation (1) , we get:-

y=2(6)-1y=12-1y=11

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