you have 15 coins, nickels and dimes. d=the number of dimes. write a simplified expression in terms of d for the total amount cents that you have. show work and explain
10 d + 5(15-d)
= 10 d + 75 - 5 d
= 5 d + 75
thanks
To find the total amount of cents you have, you need to consider the values of nickels and dimes. Let's break it down step by step:
1. Assume you have d dimes and 15 - d nickels (since you have a total of 15 coins).
2. Now, let's determine the value of dimes. Each dime is worth 10 cents, so the total value of dimes is 10d cents.
3. Next, let's find the value of nickels. Each nickel is worth 5 cents, and since you have 15 - d nickels, the total value of nickels is (15 - d) * 5 = 5(15 - d) = 75 - 5d cents.
4. Finally, to get the total amount of cents, you need to add the values of dimes and nickels together:
Total amount of cents = 10d cents + (75 - 5d) cents.
Now, let's simplify the expression:
Total amount of cents = 10d + 75 - 5d
= 75 + 5d - 5d
= 75
So, the simplified expression in terms of d for the total amount of cents is 75.