SOLUTION: Pls help me solve this. this is the last equation for my homework. Robert has 35 coins consisting dimes and quarters. If the total value is $5.90, how many of each kind of coi

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Question 1032530: Pls help me solve this. this is the last equation for my homework.

Robert has 35 coins consisting dimes and quarters. If the total value is $5.90, how many of each kind of coin are there?
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Robert has 35 coins consisting dimes and quarters.
d + q = 35 coins
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If the total value is $5.90, how many of each kind of coin are there?
10d + 25q = 590 cents
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Modify for elimination::
d + q = 35
d + 2.5q = 59
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Subtract and solve for "q":
1.5q = 24
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q = 16 (# of quarters)
d = 35-16 = 19 (# of dimes)
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Cheers,
Stan H.
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Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
Pls help me solve this. this is the last equation for my homework.

Robert has 35 coins consisting dimes and quarters. If the total value is $5.90, how many of each kind of coin are there?
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Or this another solution. 

Let d be the number of dimes.
Then the number of quarters is 35-d.

The dimes contribute 10*d cents to the total. 
The quarters contribute 25*(35-d) cents to the total.

As a result, the total is 10*d + 25*(35-d).
Since the total is 590 cents, it gives you an equation

10*d + 25*(35-d) = 590.

Simplify and solve it for d:

10d + 875 - 25d = 590,

10d - 25d = 590 -875,

-15d = -285,

d =  = 19.

So, there are 19 dimes.
Then the number of quarters is 35-19 = 16.

Answer. 19 dimes and 16 quarters.


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