Question

Li has 3 more dimes than nickels. The value of all of his coins is $3.00. Which system of equations can be used to find the number of nickels, n, and dimes, d, that Li has?

Answer 1

Li has 12 nickels and 12 + 3 = 15 dimes.

Step-by-step explanation:

Let's call the number of nickels Li has "n". Then, the number of dimes he has would be "n + 3". We know the total value of all of Li's coins is $3.00. Nickels are worth $0.05 each, and dimes are worth $0.10 each, so we can write a system of two equations to represent this information:

n * $0.05 + (n + 3) * $0.10 = $3.00

Expanding the right side:

n * $0.05 + n * $0.10 + 3 * $0.10 = $3.00

Combining like terms:

1.5n + $0.30 = $3.00

Subtracting $0.30 from both sides:

1.5n = $2.70

Dividing both sides by 1.5:

n = $1.80 / 1.5 = 12