A knife has a mass of m grammes. It is 20g heavier than a spoon. The mass of a knife and four spoons is 330g. Find the mass of the Knife.

m + 4(m-20) = 330

The answer is 250g

THE ANSWER IS 82.5

82 g

82g

To find the mass of the knife, we can set up a system of equations based on the information given in the question.

Let's denote the mass of the knife as "m" (in grams). Since it is stated that the knife is 20g heavier than a spoon, we can represent the mass of the spoon as "m - 20" (in grams).

The mass of a knife and four spoons is given as 330g. Therefore, the equation would be:

m + 4(m - 20) = 330

Now, we can solve this equation to find the value of "m" (the mass of the knife).

Expanding the equation:
m + 4m - 80 = 330

Combining like terms:
5m - 80 = 330

Adding 80 to both sides of the equation:
5m = 410

Dividing both sides by 5:
m = 82

Therefore, the mass of the knife is 82 grams.