SOLUTION: A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations
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Question 1089084: A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations.
The problem I am having is putting this question in an system of linear equation and in substitution form and graphing it
I first tried x = .36 + y = 5.85 but the calculations dies not come out what am I doing wrong? Found 2 solutions by jorel1380, MathTherapy:Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! Let x be dimes, and y be quarters. Then:
x+y=36
.1x + .25y=5.85
These are your equations for the two lines. Where they intersect is your answer for x and y.
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You can put this solution on YOUR website!
A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations.
The problem I am having is putting this question in an system of linear equation and in substitution form and graphing it
I first tried x = .36 + y = 5.85 but the calculations dies not come out what am I doing wrong?
Let the number of dimes be D and quarters, Q
Then we get the system:
You solve the system for Q: the number of quarters, since that's what's being sought.
OR
You don't have to have a system. You can solve with just one variable, as follows:
Let the number of quarters be Q
Then number of dimes = 36 - Q
We then get the following equation:
You solve the system for Q: the number of quarters, since that's what's being sought.
