Josie has $3.50 and a total of 34 coins. If she only has quarters (worth 25 cents each) and nickels (worth 5 cents each), how many nickels does Josie have?

Josie has 25 nickels and 9 quarters.

Step-by-step explanation:

Let x = Number of Nickels , y =Number of  Quarters.

Then x+y = 34

⇒ y=34-x  (i)

$3.50 = 350  cents    [ $1 = 100 cents ]

Then, 5x+25y= 350   (ii) [Since 1 nickel =  5 cents , 1 quarter = 25 cents]

Substitute value of y from (i)

5x+25 (34-x)=350

⇒ 5x + 850 - 25x =350

⇒ -20x= 350-850

⇒ -20x= -500

⇒  x = 25   [divide both sides by -20]

Put this in (i) , we get y= 34-25=9

Therefore, Josie has 25 nickels and 9 quarters.

step-by-step explanation:

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