Question 1192752: Molly has a jar with nickels, dimes and quarters in it. The ratio of the number of quarters to the number of dimes to the number of nickels in the jar is 9:3:1. The total value of all the coins in the Jar is $18.20. How many coins does molly have in her jar?
Answer by ikleyn(52798)   (Show Source):
You can put this solution on YOUR website! .
Molly has a jar with nickels, dimes and quarters in it.
The ratio of the number of quarters to the number of dimes to the number of nickels
in the jar is 9:3:1. The total value of all the coins in the Jar is $18.20.
How many coins does molly have in her jar?
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There are x nickels, 3x dimes, and 9x quarters in the jar,
where x is the common measure (now unknown value).
The total money equation is
5x + (3x)*10 + (9x)*25 = 1820 cents.
Simplify and find x
5x + 30x + 225x = 1820
260x = 1820
x = 1820/260 = 7.
ANSWER. 7 nickels, 3*7 = 21 dimes and 63 quarters.
CHECK. 7*5 + 21*10 + 63*25 = 1820 cents, in total. ! correct !
Solved.
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Instead of writing equations, you could solve the problem mentally, using the grouping method.
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