Answer: 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.
