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

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

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