Question

Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the coins is $2.20. Let n represent the number of nickels and let d represent the number of dimes. Which system of equations can be used to determine the number of nickels and the number of dimes Luis has?

Answer 1

n + d = 30
0.05n + 0.10d = 2.20

^^ ur system of equations

Answer 2

n + d = 30 ---------------------(1)

0.05n + 0.10d = 2.20 ----------(2)

Explanation:

Luis is saving money to purchase a new video game.

'n' be the number of nickels and 'd' is the number of dimes.

Statement (1)

He has total 30 coins consisting of nickels and dimes.

n + d = 30 ---------(1)

Statement (2)

The value of coins is $2.20.

∵ 1 nickel = $0.05

∴ n nickels = $0.05n

∵ 1 dime = $0.10

∴ d dimes = $0.10d

Now as per statement 0.05n + 0.10d = 2.20 ----------(2)

This is the system of two equations which can be used to determine the number of nickels and dimes Luis has.