Pizza was brought by Vinay, who divided it into three pieces. The first piece weighed 7g less than the second piece and 4g less than the third piece when he weighed them all. if the pizza’s total weight was 300g. What was the weight of the third piece?

# Pizza was brought by Vinay, who divided it into three pieces. The first piece weighed 7g less than the second piece and 4g less than the third piece when he weighed them all. if the pizza's total weight was 300g. What was the weight of the third piece?

1. A
95gm
2. B
90gm
3. C
100gm
4. D
85gm

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### Solution:

Concept: Think of the first piece as weighing x grammes, the second as weighing y grams, and the third as weighing z grammes. Three equations can be created using the information provided in the question. To determine the values of the variables and, consequently, the weights of the three components, solve the equations.
The pizza is described in the question as weighing 300g and being divided into three pieces. Assume that the first item weighs x grams, the second piece weighs y grams, and the third piece weighs z grams.
Furthermore, it is known that the first component weighs 7 g less than the second and 4 g more than the third.
Let's first replace equation and equation in equation in order to solve the equation . When we substitute, we get:
The first piece therefore has a weight of 99 grams. We shall substitute equation in equation to determine the value of y. When we substitute, we get:
Hence, the weight of the second piece is 106 grams.
To find the value of z, we will now substitute equation in equation . Substitution results in:
Hence, the weight of the third piece is 95 grams.
As a result, the first, second, and third portions each weigh 99, 106, and 95 grams, respectively.
Hence, option 1 is correct.

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