SOLUTION: Question: After closing down his lemonade stand, David finds that he has 3 and 1/2 times as many dimes as quarters. Their combined value is $15.60. How many dimes does he have?
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Question 919186: Question: After closing down his lemonade stand, David finds that he has 3 and 1/2 times as many dimes as quarters. Their combined value is $15.60. How many dimes does he have?
This is the last question of my assignment and I have already done this question multiple times but I cannot seem to find the answer. I was told the answer was 91, but I do not understand how the answer came to be.
How is the answer 91?
Help would gladly be needed!
Found 3 solutions by stanbon, josmiceli, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Question: After closing down his lemonade stand, David finds that he has 3 and 1/2 times as many dimes as quarters. Their combined value is $15.60. How many dimes does he have?
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Equations:
Quantity:: d = 3.5q
Value:::: 10d + 25q = 1560 cents
--------------------------------------
Substitute for "d" and solve for "q"::
10*3.5q + 25q = 1560
35q + 25q = 1560
60q = 1560
q = 26 (# of quarters)
---
solve for "d"
d = 3.5q
d = 3.5*26 = 91 (# of dimes)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes he has
Let = number of quarters he has
----------------------------------
(1)
(2) ( in cents )
-----------------------------------
By substitution:
(2)
(2)
(2)
(2)
---------------
and
(1)
(1)
(1)
----------------
There are 91 dimes
check:
(2)
(2)
(2)
(2)
OK
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
After closing down his lemonade stand, David finds that he has 3 and 1/2 times as many dimes as quarters. Their combined value is $15.60. How many dimes does he have?
-------------
Each set of 3.5 dimes and 1 quarter = 60 cents
1560/60 = 26 sets
--> 91 dimes
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