Respuesta :
Answer:
[tex]40+5x=225[/tex]
Step-by-step explanation:
We know that
1 dime = 10 cents
1 nickel = 5 cents
1 dollar = 100 cents
It is given that Kelly has 4 dimes and some nickels.
Let x be the number of nickels.
[tex]\text{Total value}=4(10)+x(5)[/tex]
[tex]\text{Total value}=40+5x[/tex] ... (1)
The total value of her coins is $2.25.
Total value = $2.25 = 225 cents ...(2)
From (1) and (2) we get
[tex]40+5x=225[/tex]
[tex]5x=225-40[/tex]
[tex]5x=185[/tex]
[tex]x=37[/tex]
The number of nickels is 37.
Hence, the required equation is 40+5x=225.
