Question

4. Tolani has a coin jar containing n nickels and d dimes worth a total of$3.65. The equation 0.05n + 0.1d = 3.65 is one way to represent thissituation. Which equation is equivalent to the equation 0.05n + 0.1d + 3.65?A.5n + d = 365B.0.5n + d = 365C.5n + 10d = 365D.0.05d + 0.1n = 365

Answer 1

C. 5n + 10d = 365

Explanation:

Tolani has a coin jar containing n nickels and d dimes worth a total of $3.65.

One way to represent the given problem is:

`0.05n+0.1d=3.65`

The equation above is written in terms of dollars($).

Now:

• 1 dime = 10 cents

,

• 1 nickel = 5 cents

,

• $3.65 = 3.65 x 100 = 365 cents.

Rewriting the same equation in terms of cents gives:

`5n+10d=365`

An equivalent equation is Option C.