Chapter 3: Q. 177 (page 351)

Mukul has $$ 3.75$ in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?

Short Answer

Expert verified

The number of quarters is $7$ , number of dimes is $12$ and number of nickel is $16$ .

Step by step solution

Step 1. Given Information

Total Amount $= $ 3.75$

Mukul has five more dimes than quarters and nine more nickels than quarters.

Step 2. Naming the variables

Let the number of quarters be $x$ .

We know, number of nickels = number of quarters $+ 9$

Therefore, number of nickels $= x + 9$

We know, number of dimes = number of quarters $+ 5$

Therefore, number of dimes $= x + 5$

Step 3. Creating the table

The required table is

Step 4. Solving the equation

Translating into equation we get,

$0.25 x + 0.05 (x + 9) + 0.10 (x + 5) = 3.75 \Rightarrow 0.25 x + 0.05 x + 0.45 + 0.10 x + 0.50 = 3.75 \Rightarrow 0.40 x = 3.75 - 0.45 - 0.50 \Rightarrow 0.40 x = 2.80 \Rightarrow x = \frac{2.80}{0.40} \Rightarrow x = 7 ∴ x + 9 = 7 + 9 \Rightarrow x + 9 = 16 ∴ x + 5 = 7 + 5 \Rightarrow x + 5 = 12$

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Mukul has $$ 3.75$ in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Naming the variables

Step 3. Creating the table

Step 4. Solving the equation

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Mukul has $3.75in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Naming the variables

Step 3. Creating the table

Step 4. Solving the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Decision Maths

Pure Maths

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Mukul has $$ 3.75$ in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?