Chapter 6, Problem 14CCSR

To determine

To calculate:Dimes with Rhonda.

Answer to Problem 14CCSR

21 dimes

Explanation of Solution

Calculation:

Let’s assumeRhonda has $x$ number of dimes and $y$ number of nickels.

Now, total she has $25$ coins, $\therefore x+y=25$ …..(i)

Now the amount formed with dimes is, $0.1x$ ( one dime = 0.1 dollars) and the amount formed with nickels is, $0.05y$ ( one nickel = 0.05 dollars)

Now, the total amount she has is, $0.1x+0.05y=2.30$ , $2x+y=46$ ….(ii)

Now, let’s subtract equation (i) from (ii),

  $2x+y-(x+y)=46-25$

  $\therefore x=21$