Question

10 2/3 (9-k)+81=107-1/3 (k-60)

Answer 1

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Answer 2

To solve the equation, let's simplify and solve step by step:

Starting with the equation:

10 2/3 (9 - k) + 81 = 107 - 1/3 (k - 60)

First, let's simplify the expressions with mixed numbers:

10 2/3 = (10 * 3 + 2) / 3 = 32/3

1/3 = 1 / 3

Next, we substitute these values back into the equation:

(32/3) * (9 - k) + 81 = 107 - (1/3) * (k - 60)

Now, let's eliminate the fractions by multiplying each term by 3:

3 * (32/3) * (9 - k) + 3 * 81 = 3 * 107 - 3 * (1/3) * (k - 60)

32 * (9 - k) + 243 = 321 - (k - 60)

Distribute the multiplication:

32 * 9 - 32 * k + 243 = 321 - k + 60

288 - 32k + 243 = 381 - k + 60

Combine like terms:

531 - 32k = 441 - k

Now, let's isolate the variable k on one side of the equation:

-32k + k = 441 - 531

-31k = -90

Divide both sides by -31:

k = (-90) / (-31)

k ≈ 2.903

Therefore, the solution to the equation is approximately k = 2.903.