SOLUTION: Zack has $1.30 in pennies, nickels, and quarters. He has twice as many nickels as pennies and 7 less quarters than nickels. How many of each coin does Zack have?
This is anothe
Algebra.Com
Question 163329: Zack has $1.30 in pennies, nickels, and quarters. He has twice as many nickels as pennies and 7 less quarters than nickels. How many of each coin does Zack have?
This is another one of those word problems I am just having such a hard time trying to figure out. Please help!!!! Thanks!!!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement/phrase
:
"Zack has $1.30 in pennies, nickels, and quarters."
.01p + .05n + .25q = 1.30
:
"He has twice as many nickels as pennies"
n = 2p
or
p = .5n; (we are going to try and solve for n, first. Get everything in terms of n)
:
"and 7 less quarters than nickels."
q = n-7
:
How many of each coin does Zack have?
:
.01p + .05n + .25q = 1.30
In this equation, substitute .5n for p and (n-7) for q
;
.01(.5n) + .05n + .25(n-7) = 1.30
.005n + .05n + .25n - 1.75 = 1.30
.305n = 1.30 + 1.75
.305n = 3.05
n =
n = 10 nickels
;
Now, using the equations we have, you should be able to find p and q
Then check the solution in the original Total$ equation
RELATED QUESTIONS
Carlos has some pennies, nickels, and quarters in his pocket. He has 2 more nickels than... (answered by likaaka)
Russell has $4.08 in quarters, nickels, and pennies. If he has three times as many... (answered by macston)
A boy has 93 cent in pennies, nickels, dimes, and quarters. He has two more quarters than (answered by EMStelley)
A grocer has $6.80 in quarters, nickels, and pennies. There are twice as many nickels as... (answered by Boreal)
Collin has $1.27 in quarters, nickels, and pennies. He has twice as many quarters as... (answered by CubeyThePenguin,greenestamps)
Megan has $1.10 in dimes,nickels, and pennies.She has three times as many nickels as... (answered by CubeyThePenguin)
1) Ethan has quarter and nickels. If Ethan had six more quarters than and two times the... (answered by stanbon)
Amanda has some pennies, nickels, dimes, and quarters in her piggy bank. There is more... (answered by ptaylor,ankor@dixie-net.com)
1. Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a (answered by stanbon)