Ajar contains n nickels and d dimes. there are 18 coins in the jar, and the total value of the coins is $1.15. how many nickels and how many dimes are in the jar? (hint: nickels are worth $0.05 and dimes are worth $0.10.)

there nickels and in the jar.?

There are 13 nickels and 5 dimes in the jar.

Step-by-step explanation:

Total number of coins = 18

Number of nickels =

Number of dimes =

Therefore

Total value of coins = $1.15

Value of nickels = $

Values of dimes = $

therefore

We have a system of equation to solve

(1)

(2)

Multiplying equation (2) with

Now adding it to equation (1)

We get

Dividing both sides by

∴

Plugging value of in equation (1).

Subtracting both sides by 13.

∴

Therefore there are 13 nickels and 5 dimes in the jar.

step-by-step explanation:

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