Question

A collection of nickels and dimes has a value of 1.85. The value of the dimes is 0.10 less than twice the value of the nickels. Which system of equations can be used to find the number of nickels and the number of dimes

Answer 1

Step-by-step explanation:

Let n be the number of nickels and d be number of dimes.

Since we know that the value of one dime equals $0.10 and value of 1 nickel is $0.05, therefore, value of n nickels will be 0.05n and value of d dimes will be 0.10d.

We have been given that a collection of nickels and dimes has a value of 1.85.

Let us represent this information in an equation.

$0.05n+0.10d=1.85...(1)$

We have been given that the value of the dimes is 0.10 less than twice the value of the nickels.

We can represent this information in an equation as:

$0.10d+0.10=2*(0.05n)...(2)$

Therefore, our system of equations that can be used to find the number of nickels and the number of dimes is:      

$0.05n+0.10d=1.85...(1)$  

$0.10d+0.10=2*(0.05n)...(2)$