Question

"History of Early Math

4. Translate the following question into a modern equation which could be solved to find \( x \) and solve for \( x \) : One-third of a herd of elephants and three times the square root of the remaini"
A) x = 1/3E + 3√H - 1/3E
B) x = 1/3E - 3√H - 1/3E
C) x = 1/3E + 9√H - 1/3E
D) x = 1/3E . 3√H - 1/3E

Answer 1

`The correct translation of the given question into a modern equation is \( x = (1)/(3)E + 3√(H) - (1)/(3)E \), which corresponds to option A.`

Step-by-step explanation:

Let's break down the translation of the question into an equation. The question states, "One-third of a herd of elephants and three times the square root of the remaining quantity." Let
`\( E \)` represent the herd of elephants, and
`\( H \)` represent the remaining quantity. The expression "One-third of a herd of elephants" is translated as
`\( (1)/(3)E \)`, and "three times the square root of the remaining quantity" is translated as
`\( 3√(H) \)`. Combining these, we get the equation
`\( x = (1)/(3)E + 3√(H) - (1)/(3)E \).`

`Now, let's simplify this equation. The terms \((1)/(3)E\) and \(-(1)/(3)E\) cancel each other out, leaving \( x = 3√(H) \). Therefore, the correct equation is \( x = 3√(H) \), which corresponds to option A.`

`In summary, the translation and solving of the equation reveal that option A, \( x = (1)/(3)E + 3√(H) - (1)/(3)E \), accurately represents the given question and simplifies to \( x = 3√(H) \).`