Candela has $5.60 in quarters and dimes in her pocket. If there are 35 coins total, how many of each does she have? Enter the number of quarters in the first blank and the number of dimes in the second blank.
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Given : Candela has $5.60 in quarters and dimes in her pocket.
There are 35 coins total,
To Find : how many of each does she have
Solution:
Quarter value = 0.25 $
Dime value = 0.1 $
Let say Quarters = Q
Dimes = 35 - Q
Value of Quarters = 0.25Q
Value of Dime = 0.1(35 - Q) = 3.5 - 0.1Q
0.25Q + 3.5 - 0.1Q = 5.6
=> 0.15Q = 2.1
=> Q = 14
Quarters = 14
Dimes = 35 - 14 = 21
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