Question

Consider the following equation.

x – 0.32x = 0.68x

Which of the following statements matches the mathematical equations?

Question 5 options:

a) Decrease a number by 0.32 is the same as multiplying by 0.68.


b) Decrease a number by 32% is the same as increasing by 68%.


c) Decrease a number by 0.32 is the same as multiplying by 0.32.


d) Decrease a number by 32% is the same as multiplying by 68%.

Answer 1

• d) Decrease a number by 32% is the same as multiplying by 68%

Explanation:

Given equation:

• x - 0.32x = 0.68x

Options (4 of them given)

a) Decrease a number by 0.32 is the same as multiplying by 0.68.

• x - 0.32 = 0.68x ⇒ 0.32x = 0.32
• Incorrect

b) Decrease a number by 32% is the same as increasing by 68%.

• x - 32% = x + 68% ⇒ 0 = 100%
• Incorrect

c) Decrease a number by 0.32 is the same as multiplying by 0.32.

• x - 0.32 = 0.32x ⇒ 0.68x = 0.32
• Incorrect

d) Decrease a number by 32% is the same as multiplying by 68%

• x - 32% = 0.68x ⇒ x - 0.32x = 0.68x ⇒ 0.68x = 0.68x
• Correct