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?.

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14-12-2022
Mathematics

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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?.

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24emvelasco 24emvelasco · Answer 1 · 2022-12-14T23:27:20+01:00

Answer: 100 Quarters

You have

D(dimes)=25
Q(quarters)=?
P(Pennies)=?
N(nickels)=?

1D = 4N
25D x 4N = 100N

You have 100 nickels

1N = 2P
100N x 2P = 200P

You have 200P

To find total quarters, the problem says, “ the number of quarters plus dimes equals the number of pennies

This is the same as Q + N = P

We know we have 100 nickels and 200 pennies so,

Q + 100 = 200

Subtract 100 from both sides

Q + 100 - 100 = 200 - 100
Q= 100

You have 100 quarters