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a contractor needs to buy nails to build a house. the nails come in small boxes and large boxes. each small box has 50 nails and each large box has 350 nails. the contractor bought 3 more small boxes than large boxes, which altogether had 2950 nails. write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. define the variables that you use to write the system.



Answer :

Seven huge boxes and two tiny boxes total were bought by the contractor.

A linear equation is defined as an algebraic equation of maximum degree 1 is a linear equation.

According to the question, a builder needs to purchase nails to construct a house.

Both small and large boxes of nails are provided. There are 50 nails in each small box and 350 in each large box.

The contractor purchased 5 more large than tiny boxes, hence it is assumed that he purchased a certain number of little boxes.

He purchased (x+5) huge cartons.

So, 50(x) + 350(x+5) = 2590.

50x + 350x + 1750 = 2590.

400x = 2590 - 1750.

400x = 840.

x = 2.1

The bulk of the boxes he bought is 7.

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