Question

Mrs. Abubakar had a 32 cm length of bar soap. She shared this with her friend. The piece she gave her friend was 4 cm less than twice the length she kept for herself.

a) Write an equation for the statement.
b) Solve this equation to find the length of the bar soap Mrs. Abubakar kept for herself.

a) (2x - 4 = 32)
b) (x = 18)

Answer 1

To write an equation representing the statement, we use the given information and solve for the variable x to find the length of the bar soap Mrs. Abubakar kept for herself, which is 18 cm.

Step-by-step explanation:

To write an equation for the statement, let's assume that the length of the bar soap Mrs. Abubakar kept for herself is x cm. According to the problem, the piece she gave her friend is 4 cm less than twice the length she kept for herself, which can be written as (2x - 4) cm. Therefore, the equation representing the statement is 2x - 4 = 32.

To solve this equation and find the length of the bar soap Mrs. Abubakar kept for herself, we need to isolate the variable x. Adding 4 to both sides of the equation gives us 2x = 36. Then, dividing both sides by 2 gives us x = 18.