You have 30 coins in your wallet, all dimes and nickels. if the total of the change in your wallet is $2.60, then how many dimes and nickels do you have?

Step-by-step explanation:

If all were dimes, you'd have $3.00. You have $0.40 less. Each dime that is replaced by a nickel subtracts $0.05, so there are $0.40/$0.05 = 8 nickels. That leaves 30-8 = 22 dimes.

You have 22 dimes and 8 nickels in your wallet.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.