SOLUTION: A piggy bank has 100 coins, all of which are nickels and quarters. The total value of the money is $17.80. How many of each denomination are there in the bank?
Algebra.Com
Question 932965: A piggy bank has 100 coins, all of which are nickels and quarters. The total value of the money is $17.80. How many of each denomination are there in the bank?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = nickels
y = quarters
---
x + y = 100
5x + 25y = 1780
---
put the system of linear equations into standard form
---
x + y = 100
5x + 25y = 1780
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = nickels = 36
y = quarters = 64
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
A piggy bank has five more dimes than nickels and three less quarters than twice the... (answered by josmiceli)
A piggy bank contains only quarters and nickels, and there is a total of 60 coins. The... (answered by math-vortex)
Joey has 60 coins in his piggy bank. All the coins are nickels and quarters.The total... (answered by JulietG)
A piggy bank contains only quarters and nickels, and there is a total of 60 coins. The... (answered by Fombitz)
A piggy bank has an equal number of nickels, dimes and quarters. The total value of the... (answered by MRperkins)
A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)
A child's piggy bank contains nickels, dimes, and quarters. There are twice as many... (answered by jorel1380)
Larry has 22 quarters and nickels in his piggy bank with a total face value of $3.70. How (answered by josgarithmetic)
Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount (answered by checkley77)