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Chapter 3: Q. 3.53 (page 342)

Sumanta has $4.20 in nickels and dimes in her piggy bank. She has twice as many nickels as dimes. How many coins of each type does she have?

Short Answer

Expert verified

Sumanta has 21dimes and 42nickels in her piggy bank.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Sumanta has twice as many nickels as dimes.

We know, the value of a dime is $0.1and value of nickel is $0.05. The total value of all the coins is $4.2.

Assume nand dto be the number of nickels and dimes.

n=2d

Make the table,

02

Step 2. Form the equation.

Consider the table, we can see,

0.1d+0.052d=4.20.1d+0.1d=4.20.2d=4.2d=21

Then,

n=221n=42

Therefore, Sumanta has 21dimes and 42nickels in her piggy bank.

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