Question

PLEASE HELP :'( 30 POINTS. Marcella has the same number of dimes as nickels. She also has 12 pennies. If those are the only types of coins she has and she has a total of $1.47, the situation can be represented by the equation 0.10 c + 0.05 c + 0.12 = 1.47. where c is the number of coins Marcella has. Solve the equation to determine the number of coins she has.

Answer 1

We can start solving the equation by combining like terms:

0.10c + 0.05c + 0.12 = 1.47

0.15c + 0.12 = 1.47

Subtract 0.12 from both sides:

0.15c = 1.35

Divide both sides by 0.15:

c = 9

So Marcella has 9 dimes and 9 nickels (since she has the same number of dimes as nickels), as well as 12 pennies. We can check that this works by calculating the total value of her coins:

9 dimes = $0.90

9 nickels = $0.45

12 pennies = $0.12

Total value = $1.47

So the solution is that Marcella has a total of 30 coins (9 dimes, 9 nickels, and 12 pennies).