Respuesta :
Answer:
Beka and Melannie have 17 nickels.
Step-by-step explanation:
Given:
Total number of nickels ans dimes =28
Total value of coins = $1.95
To find number of nickels.
Let number of nickels be = [tex]n[/tex]
So, number of dimes = [tex]Total\ coins\ -\ nickels=(28-n)[/tex]
1 nickel = $0.05
Value of [tex]n[/tex] nickels in dollars = [tex]0.05\times n =0.05\ n[/tex]
1 dime = $0.10
Value of [tex](28-n)[/tex] dimes in dollars =[tex]0.10(28-n)=2.8-0.1\ n[/tex]
Total value of nickels and dimes in dollars =[tex]0.05\ n+2.8-0.1\ n=2.8-0.05\ n[/tex]
So we have:
[tex]2.8-0.05\ n=1.95[/tex]
Subtracting 2.8 from both sides.
[tex]2.8-2.8-0.05\ n=1.95-2.8[/tex]
[tex]-0.05\ n=-0.85[/tex]
dividing both sides by -0.05
[tex]\frac{-0.05\ n}{-0.05}=\frac{-0.85}{-0.05}[/tex]
∴ [tex]n=17[/tex]
∴ Beka and Melannie have 17 nickels.
