A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are there?
2 answers:
Let
x------> the number of dimes
y-----> the number of nickels
we know that
so
------> equation A
-----> equation B
substitute equation B in equation A
Find the value of x
therefore
<u>the answer is</u>
the number of dimes is
the number of nickels is
Now, the nickels and dimes are at ratio of 3:2. However, the total amount is in dollars. So let's convert all amounts to pennies then.
$5.60 is just 560 pennies
3 dimes is just 30 pennies
2 nickels is just 10 pennies
so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.
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