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Chapter 3: Q. 3.51 (page 340)

Michaela has $2.05in dimes and nickels in her change purse. She has seven more dimes than nickels. How many coins of each type does she have?

Short Answer

Expert verified

Michaela has 9nickels and 16dimes in her purse.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Michaela has seven more dimes than nickels.

We know, the value of a dime is $0.1and value of nickel is $0.05. The total value of all the coins is $2.05.

Assume nand dto be the number of nickels and dimes.

localid="1647107421767" d=n+7

Make the table,

02

Step 2. Form the equation.

Consider the table, we can see,

0.1n+7+0.05n=2.050.1n+0.7+0.05n=2.050.15n=1.35n=9

Then,

d=9+7d=16

Therefore, the number of nickels is 9and the number of dimes is 16.

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