There are twice as many nickels as quarters. If the coins are worth $4.90, how many quarters and nickels are there?

28 nickels and 14 quarters

Step-by-step explanation:

If N is the number of nickels and Q is the number of quarters, then:

N = 2Q

5N + 25Q = 490

Solve the system of equations with either substitution or elimination. Using substitution:

5 (2Q) + 25Q = 490

10Q + 25Q = 490

35Q = 490

Q = 14

N = 28

There are 28 nickels and 14 quarters.

Hello!

There are 14 quarters and 28 nickels! 42 coins in total.

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Explanation:

25 x 14=350 (3.50)

5 x 28=140 (1.40)

3.50+1.40=4.9

How I got 14 and 28:

14 was just a guess and I doubled 14 to get 28.