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?

The number of nickels are 16 and the number of dimes are 14.

Step-by-step explanation:

As given

Let n represent the number of nickels.

let d represent the number of dimes.

As given

Luis is saving money to purchase a new video game.

He has a total of 30 coins consisting of nickels and dimes.

Than the equation becomes

n + d = 30

As the value of the coins is $2.20.

As 1 nickel = 0.05 dollars

    1 dimes = 0.1 dollars

Than the equation becomes

0.05n + 0.1d = 2.20

Simplify the above

L.C.M of (10,100) = 100

Than

5n + 10d = 220

Than two equations are

n + d = 30 and 5n + 10d = 220

Multiply n + d = 30 by 5 and subtracted from  5n + 10d = 220 .

5n - 5n + 10d - 5d = 220 - 150

5d = 70

d = 14

Put in the equation n + d = 30

n + 14 = 30

n = 30 - 14

n = 16

Therefore the number of nickels are 16 and the number of dimes are 14.

answer: its the third option.

step-by-step explanation:

i just took the test.

a c

step-by-step explanation: