Question

Translate the sentence into a sentence Six more than the quotient of a number and 4 is equal to 8

Answer 1

`\frac {x}{3} + 6 = 8`

Explanation:

Let the unknown number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder;
`\frac {10}{5} = 2`

Hence, translating the word problem in this scenario into an algebraic expression, we have;

`\frac {x}{3} + 6 = 8`

Simplifying further, we have;

`\frac {x}{3} = 8 - 6`

`\frac {x}{3} = 2`

Cross-multiplying, we have;

x = 3 * 2

x = 6