Question

One-sixth of one-third of one-fourth of what number is equal to five?

Answer 1

360

Explanation:

Write and solve an equation:

(1/6)(1/3)(1/4)n = 5

Multiplying the left side by (6)(3)(4), or 72, an

Multiply both sides by 6. The resulting equation will still be true, but not have 6 in the denominator:

(1)(1/3)(1/4)n = 5(6) = 30

Mult both sides by 12. The resulting equation will still be true, but not have (3)(4) in the denominator:

(1)(1)(1)n = 360

Then n = 360.

Check: Does (1/6)(1/3)(1/4)(360) = 5?

Yes. This confirms that the unknown number n is 360.