Question

Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, the factory produced 1315 parts altogether. How many parts were produced in January and how many parts were produced in February?

Answer 1

x + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740

Answer 2

The number of parts that are manufactured in the month of January and February is 575 and 740 respectively.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the number of parts manufactured in the factory in the month of January be x.

As it is given that the number of parts manufactured in the factory in the month of February is 165 more than in January. Therefore, the number of parts manufactured in the month of February is (x+165).

Also, it is mentioned that the total number of parts manufactured in the two months is 1315. Therefore, the number of parts manufactured in the two months are

$x + (x+165) = 1315\\\\2x+165 =1315\\\\2x = 1315-165\\\\x = \dfrac{1150}{2}\\\\x = 575$

Now, the number of parts that are manufactured in the month of January is 575. And the number of parts that are manufactured in the month of February is 740 (x+165).

Hence, the number of parts that are manufactured in the month of January and February is 575 and 740 respectively.

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