A scuba diver, hired by an amusement park, collected $119 in nickels, dimes, and quarters at the bottom of a wishing well. There were 300 nickels, and 10 more quarters than dimes. How many quarters and dimes were thrown into the wishing well?

1 Answer
Jun 17, 2018

Answer:

The number of dimes are #290# and quarters are #300# in number.

Explanation:

#1# nickel worth #$0.05 , 1# dime worth #$0.10# and

#1# quarter worth #$0.25#.

#300# nickels worth #$0.05 *300 = $15#

Total value of quarter and dime is # 119-15= $104#

Let the number of dimes are #x#, then quarters are #x+10#

in number. #:. x *0.1+ (10+x)*0.25= 104.00#

#:. 0.1 x+ 0.25 x= 104.00- 2.5 # or

#0.35 x = 101.50 :. x = 101.50/0.35= 290:. x+10=300#

The number of dimes are #290# and quarters are #300# in

number in the wishing well. [Ans]