Chapter 3: Q. 3.54 (page 342)

Alison has three times as many dimes as quarters in her purse. She has $$ 9.35$ altogether. How many coins of each type does she have?

Short Answer

Expert verified

Alison has $17$ quarters and $51$ dimes in her purse.

Step by step solution

Step 1. Given information.

Consider the given question,

Alison has three times as many dimes as quarters in her purse.

We know, the value of a dime is $$ 0.1$ and value of quarter is $$ 0.25$ . The total value of all the coins is $$ 9.35$ .

Assume nand dto be the number of nickels and dimes.

localid="1647163959363" $d = 3 q$

Make the table,

Step 2. Form the equation.

Consider the table, we can see,

$3 q (0.1) + 0.25 q = 9.35 0.3 q + 0.25 q = 9.35 0.55 q = 9.35 q = 17$

Then,

$= 3 \times 17 = 51$

Therefore, Alison has $17$ quarters and $51$ dimes in her purse.

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Alison has three times as many dimes as quarters in her purse. She has $$ 9.35$ altogether. How many coins of each type does she have?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the equation.

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Alison has three times as many dimes as quarters in her purse. She has $9.35altogether. How many coins of each type does she have?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Discrete Mathematics

Pure Maths

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Alison has three times as many dimes as quarters in her purse. She has $$ 9.35$ altogether. How many coins of each type does she have?