SOLUTION: susie has $3.15 in quarters and nickles. there are 23 coins. how many of each type of coin are ther? us the five step method and a table in solution the problem.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: susie has $3.15 in quarters and nickles. there are 23 coins. how many of each type of coin are ther? us the five step method and a table in solution the problem.      Log On


   

Question 214416This question is from textbook algebra 1 an integrated approach
: susie has $3.15 in quarters and nickles. there are 23 coins. how many of each type of coin are ther? us the five step method and a table in solution the problem. This question is from textbook algebra 1 an integrated approach

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
susie has $3.15 in quarters and nickles. there are 23 coins. how many of each type of coin are ther? us the five step method and a table in solution the problem.
------------------------------------
Quantity Equation: q + n = 23
Value Equation::::25q+5n = 315 cents
--------------------------------------------
Multiply the Quantity Equation by 5 to get:
5q + 5n = 115
---
Subtract that from the Value Equation to get:
20q = 200
q = 10 (# of quarters)
---
Substitute into q + n = 23 to solve for "n":
10 + n = 23
n = 13 (# of nickels)
--------------------------------
Cheers,
Stan H.