SOLUTION: In a piggy bank, there are twice as many dimes as quarters, five times as many nickels as quarters, and twice as many pennies as all other coins combined. It is equally likely that

Question 238718: In a piggy bank, there are twice as many dimes as quarters, five times as many nickels as quarters, and twice as many pennies as all other coins combined. It is equally likely that any one of the coins will fall out when the piggy bank is turned upside down. Calculate the probability that either a nickel or a quarter will fall out. Express your solution as a fraction in lowest terms
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a piggy bank, there are twice as many dimes as quarters, five times as many nickels as quarters, and twice as many pennies as all other coins combined. It is equally likely that any one of the coins will fall out when the piggy bank is turned upside down. Calculate the probability that either a nickel or a quarter will fall out. Express your solution as a fraction in lowest terms.
------------------------------
Equations:
d = 2q
n = 5q
p = 2(n + d + q)
----------------------
Substitute to get:
p = 2(5q + 2q + q)
p = 2(8q)
p = 16q
-------------------
Total # of coins = p + n + d + q = 16q + 5q + 2q + q = 24q
--------------------------
P(nickel or quarter) = P(nickel) + P(quarter)
=(5q/24q) + (q/24q)
= (5/24) + (1/24)
= 6/24
= 1/4
=========================
Cheers,
Stan H.

RELATED QUESTIONS
A piggy bank contains $3.20. There are twice as many nickels as quarters and half as many (answered by macston)

A piggy bank contains $17.35 in nickels, dimes and quarters. The bank contains 3 more... (answered by Edwin McCravy)

Jason emptied his piggy bank and counted exactly $10 in nickels, dimes and quarters There (answered by stanbon)

A piggy bank contains $12.75 in nickels, dimes, and quarters. There are twice as many... (answered by stanbon)

a piggy bank contains 91 coins which are nickles, dimes and quarters. there are twice as... (answered by stanbon)

a piggy bank has $4.40 in nickels, dimes and quarters. there are twice as many quarters... (answered by Fombitz)

There are 75 coins in a piggy bank. If there are twice as many quarters than dimes, how... (answered by Alan3354)

In a piggy bank, there are twice as many dimes as quarters, five times as many nickels as (answered by stanbon)

A child�s piggy bank contains 35 coins and a total of $6.25. The bank contains... (answered by ikleyn)