Question

A bottle of oil is used in two steps. First, 1/4 of the oil is used. Then, 2/5 of the remaining oil is used. The amount used in the second step is 0.25 kg more than the first step. How much oil was used in the first step?

a) 1 kg
b) 1.25 kg
c) 1.5 kg
d) 1.75 kg

Answer 1

To find the amount of oil used in the first step, we can set up an equation based on the given information. By solving the equation, we can determine the amount of oil used in the first step.

Step-by-step explanation:

To find the amount of oil used in the first step, we need to solve the given problem using fractions. Let x be the total amount of oil. The first step uses 1/4 of the oil, which is x/4. The remaining oil after the first step is (3/4)x. The second step uses 2/5 of the remaining oil, which is (2/5)(3/4)x. According to the problem, the amount used in the second step is 0.25 kg more than the first step, so we have (2/5)(3/4)x = (x/4) + 0.25. Now we can solve this equation to find the value of x, which represents the amount of oil used in the first step.