Question

My jar has 25 dimes and some quarters, nickels, and pennies. The number of quarters plus dimes equals the number of pennies. I have 4 nickels for every dime and 2 pennies for every nickel. How many quarters are there? A. 175 B. 150 C. 125 D. 75

Answer 1

Quarters = 175

Explanation:

Let the number of dimes in the jar = 25

number of Nickels = n

number of quarters = q

number of pennies = p

Now we will form the equation

Number of quarters plus dimes equal the number of pennies.

q + 25 = p --------(1)

You have 4 nickles for every dime

n = 4d

n = 4 × 25 = 100

and you have 2 pennies for every nickels

p = 2n

p = 2 × 100 = 200

Now we replace p = 200 in equation (1)

q + 25 = 200

q = 200 - 25

q = 175

Option A. 175 will be the answer.

Answer 2

d = dimes = 25
q = quarters
p = pennies
n = nickels
1. q + n = p
2. 4n = 1 d
3. 2p = 1n

1 d = 4n
25 d = x
x = 4 * 25 = 100 nickels

1 n = 2 p
100 n = x p
100 n = 200 p

q + n = p
There are 100 nickels. there are 200 pennies
q + 100 = 200
q = 200 - 100
q = 100

Answer
There are 100 quarters,<<<<======