Question

9. Translate the sentence into an equation and solve. Use x as the variable.

The difference between six times a number and four is equal to fifty.

A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9

Answer 1

Option B: 6x-4=50; x=9 is the correct answer.

Explanation:

Given that:

x is the variable used for number.

6 times a number means 6x and difference means subtraction.

Thus according to given statement;

6x - 4 = 50

Adding 4 on both sides

6x - 4 + 4 = 50+4

6x = 54

Dividing both sides by 6

`(6x)/(6)=(54)/(6)\\x=9`

Hence,

Option B: 6x-4=50; x=9 is the correct answer.