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Chapter 2: Q. 313 (page 253)

Coins Rhonda has $1.90in nickels and dimes. The number of dimes is one less than twice the number of nickels. Find the number of nickels, n, by solving the equation role="math" localid="1653629245182" 0.05n+0.10(2n鈭�1)=1.90.

Short Answer

Expert verified

The number of nickels obtained by solving the equation0.05n+0.10(2n鈭�1)=1.90is,8.

Step by step solution

01

Step 1. Given information

0.05n+0.10(2n鈭�1)=1.90.

02

Step 2. First simplify the given equation by using the distributive property.

0.05n+0.10(2n鈭�1)=1.900.05n+0.20n-0.10=1.90

Simplify the obtained equation

0.25n-0.10=1.90

Add 0.10to get the constants to the right.

0.25n-0.10+0.10=1.90+0.10

Simplify the obtained equation.

0.25n=2n=20.25n=8

03

Step 3. Let us check the answer.

Substitute n=8in the given equation.

0.058+0.10(28鈭�1)=1.900.40+0.1015=1.900.40+1.5=1.901.90=1.90

which is true.

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