Kelly has 4 dimes and some nickels. The total value of her coins is $2.25. Write an equation for this.
Answer:
\(40+5x=225\)
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.
\(\text{Total value}=4(10)+x(5)\)
\(\text{Total value}=40+5x\) ... (1)
The total value of her coins is $2.25.
Total value = $2.25 = 225 cents ...(2)
From (1) and (2) we get
\(40+5x=225\)
\(5x=225-40\)
\(5x=185\)
\(x=37\)
The number of nickels is 37.
Hence, the required equation is 40+5x=225.