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?

n + d = 30      (1)

0.05n + 0.10d = 2.20 (2)

Step-by-step 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.

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explanation:

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