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Chapter 2: Q. 370 (page 265)

Coins Taylor has $2.00 in dimes and pennies. The number of pennies is 2 more than the number of dimes. Solve the equation 0.10d+0.01(d+2)=2for d , the number of dimes.

Short Answer

Expert verified

Thenumberofdimesisd=18

Step by step solution

01

Step 1. Given information

Given : Equation 0.10d+0.01(d+2)=2

We have to solve the given equation and find the number of dimes d.

02

Step 2. Explanation

Solve:0.10d+0.01(d+2)=2鈬�0.10d+0.01脳(d)+0.01脳(2)=2(Distribute)鈬�0.10d+0.01d+0.02=2(Multiply)鈬�0.11d+0.02=2(Combineliketerm)鈬�0.11d+0.02鈭�0.02=2鈭�0.02(Subtract0.02frombothsides)鈬�0.11d=1.98(Simplify)鈬�0.110.11d=1.980.11(Dividebothsideby0.3)鈬�d=18(Simplify)Thenumberofdimesisd=18

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