Question

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

Answer 1

Hello!

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

x

x

x

Step-by-step 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.

Answer 2

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.