A store prices tapes by raising the wholesale price 40​% and adding 25 cents. What must a​ tape's wholesale price be if the tape sells for​ $1.99​?

Please show work than you

1.4x + .25 = 1.99

Solve for x.

To solve this problem, we need to work backwards from the selling price of $1.99 to find the wholesale price of the tape.

Let's first find out the part of the selling price that represents the wholesale price after it has been increased by 40%.

If we assume the wholesale price is represented by "x", then a 40% increase would be 40% of x, or 0.4x.

So, the wholesale price after the increase is x + 0.4x = 1.4x.

Now, we add 25 cents to this increased wholesale price to get the final selling price of $1.99.

1.4x + 0.25 = 1.99

Next, we solve this equation to find the value of x:

1.4x = 1.99 - 0.25

1.4x = 1.74

x = 1.74 / 1.4

x ≈ 1.2429

Therefore, the wholesale price of the tape should be approximately $1.2429.