SOLUTION: say i have 37 coins. some are dimes and the rest are quarters The value of the dimes and quaters are $5.95. how can i determine how many dimes that i have
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Question 316312: say i have 37 coins. some are dimes and the rest are quarters The value of the dimes and quaters are $5.95. how can i determine how many dimes that i have Found 2 solutions by nyc_function, JBarnum:Answer by nyc_function(2741) (Show Source):
You can put this solution on YOUR website! You have a system of linear equations in two variables.
Let d = dimes
Let q = quarters
The total number of coins is 37.
Our first equation is d + q = 37.
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The value of a dime is 0.10 and the value of a quarter is 0.25.
The total given is $5.95 in dimes and quarters.
Our second equation is 0.10d + 0.25q = 5.95
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Our system of linear equations in two variables is
d + q = 37.............Equation A
0.10d + 0.25q = 5.95...Equation B
There are many methods we can use to find the number of dimes and quarters.
I will use the substitution method.
I will solve for d in Equation A but you can solve for B if you want to as step one.
d + q = 37
d = 37 - q
We plug that into Equation B to find the value of q.
NOTE: It's easier working with whole numbers than with decimals.
So, change 0.10 to 10, 0.25 to 25 and 5.95 to 595.
10(37 - q) + 25q = 595
370 - 10q + 25q = 595
370 + 15q = 595
15q = 595 - 370
15q = 225
q = 225/15
q = 15
There are 15 quarters.
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To find the number of dimes, plug q = 15 into EITHER Equation A or B (your choice) and solve the chosen equation for d.
I will use d + q = 37 but you can use Equation B if you'd like.
d + 15 = 37
d = 37 - 15
d = 22
There are 22 dimes.
Can you believe that I am not a math teacher? I just answer questions online for fun.
You can put this solution on YOUR website! these are fun
d=# of dimes=>$0.10
q=# of quarters=>$0.25
use substitution or elimination method to solve substitute add subtract divide
