Question

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?

Answer 1

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]