Question

Ajar contains n nickels and d dimes worth a total of $30. Which equation models this information?

A. 0.05n + 0.1d = 30
B. 5n + 10d = 30
C. 0.5 +0.10 = 30
D. n + d = 30

Answer 1

The correct equation that models the total value of n nickels and d dimes worth $30 is 0.05n + 0.1d = 30, which is option A.

Step-by-step explanation:

The student is asking for an equation that models the total value of nickels and dimes in a jar that cumulatively amount to $30. In United States currency, a nickel is worth 5 cents (or $0.05) and a dime is worth 10 cents (or $0.1). To model the total value of n nickels and d nickels, we would multiply the number of each type of coin by its corresponding value and sum the results to equal $30. This is represented by the equation:

0.05n + 0.1d = 30

Therefore, option A is the correct equation that models this information.