3 less than two-fifth of a number k is 15.Solve for k
2/5k - 3 = 15
Solve the same way I showed you in the last post.
To solve for k, we need to translate the given information into an equation.
The phrase "two-fifth of a number k" can be represented as (2/5)k.
Then, "3 less than two-fifth of a number k" would be (2/5)k - 3.
According to the problem, (2/5)k - 3 equals 15.
So, we can write the equation as:
(2/5)k - 3 = 15.
To solve for k, we will isolate the variable by performing inverse operations.
First, we will add 3 to both sides of the equation to eliminate the -3 on the left side:
(2/5)k - 3 + 3 = 15 + 3,
(2/5)k = 18.
Next, we will multiply both sides of the equation by the reciprocal of (2/5), which is 5/2, in order to cancel out the coefficient:
(5/2) * (2/5)k = (5/2) * 18,
1k = 45.
Finally, we have k = 45 as our answer.