SOLUTION: if you have twice as many pennies as nickels and the total value of these coins is the same as the value of 28 quarters how many pennies do you have

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Question 1023764: if you have twice as many pennies as nickels and the total value of these coins is the same as the value of 28 quarters how many pennies do you have

Found 2 solutions by Edwin McCravy, CubeyThePenguin:
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
A) An even number
That's one of these ten: 

2,4,6,8,10,12,14,16,18,20

out of these twenty: 

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19.20

That's 10 ways out of 20, so we make the fraction
10%2F20 and reduce it to 1%2F2
Answer: 1%2F2

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B) A factor of 24
That's one of these seven: 

1,2,3,4,6,8,12

out of these twenty: 

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19.20

That's 7 ways out of 20, so we make the fraction
7%2F20 and it doesn't reduce
Answer: 7%2F20

C) A prime number
That's one of these eight: 

2,3,5,7,11,13,17,19

out of these twenty: 

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19.20

That's 8 ways out of 20, so we make the fraction
8%2F20 and reduce it to 2%2F5
Answer: 2%2F5

Edwin

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
p = number of pennies
n = number of nickels

p = 2n
p + 5n = 28 * 25 = 700

Use substitution.

p + 5n = 700
7n = 700
n = 100

You have 100 nickels and 200 pennies.