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?

Question

Savannah Anderson · Accepted Answer

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

#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]

Isaiah Anthony · Answer

undefined Let's denote the number of dimes as $d$. Since there were 10 more quarters than dimes, the number of quarters is $d + 10$.

The total value of the nickels, dimes, and quarters is $119. We can set up the equation:

$$0.05(300) + 0.10(d) + 0.25(d + 10) = 119$$

Solving this equation will give us the number of dimes and quarters thrown into the wishing well.