Question

Jackie has been saving money for a toy he has five times as many nickels as dimes he also has two times as many nickels as he does quarters he has a total of 85 coins enter an equation to find the number of dimes

Answer 1

Step-by-step explanation

Step 1

a)set the equations

`\begin{gathered} 1\text{ nickel= \$0.05 } \\ 1\text{ }dime=\text{ \$0.10} \\ 1\text{ quarter=\$0.25} \end{gathered}`

let

N represents the number of NIckles

D represents the number of Dimes

Q represents the number of quarters

hence

translate

i)he has five times as many nickels as dimes

`N=5D\Rightarrow equation(1)`

ii)he also has two times as many nickels as he does quarters

`N\Rightarrow2Q\Rightarrow equation(2)`

iii)he has a total of 85 coins

`N+D+Q=85\Rightarrow equation\text{ \lparen3\rparen}`

Step 2

solve the equations

a) replace the D and Q value from equation (1) and equation (2) and replace in equation (3) , then solve for N

`N+D+Q=85\Rightarrow equation\text{ \lparen3\rparen}`