Chapter 6.1, Problem 42STP

a.

To determine

To find the ratio that compares the number of nickels to the number of quarters.

Answer to Problem 42STP

The ratio of number of nickels to the number of quarters is $2:3$ .

Explanation of Solution

Given:

Number of coins that Marisol had is as follows:

Pennies	nickels	dimes	quarters
47	14	18	21

Calculation:

The ratio of number of nickels to the number of quarters is,

  $14:21=\frac{14}{21}=\frac{7\times 2}{7\times 3}=\frac{2}{3}=2:3$

b.

To determine

To find the ratio that compares the number of dimes to the number of total coins.

Answer to Problem 42STP

The ratio of number of dimes to the number of total coins is $9:50$ .

Explanation of Solution

Given:

Number of coins that Marisol had is as follows:

Pennies	nickels	dimes	quarters
47	14	18	21

Calculation:

  $\text{Total}\text{coins}=47+14+18+21=100$

Therefore the ratio of number of dimes to the number of total coins is,

  $18:100=\frac{18}{100}=\frac{2\times 9}{2\times 50}=\frac{9}{50}=9:50$