Question

Kelly has 4 dimes and some nickels. The total value of her coins is $2.25. Write an equation for this.

Answer 1

total = value of nickels(n) + value of dimes
2.25 = 0.05n + 0.40

Answer 2

`40+5x=225`

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.