There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box?

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06-09-2022
Mathematics

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There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box?

Sagot :

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-09-08T23:58:30-04:00

There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box

Purchases of both small and large boxes total:

two little boxes.

six huge boxes

Two equations must be created with the given data in order to answer the unknowns:

150X + 400Y = 2700 (the price of the boxes and the total number of nails, where X is the small boxes and Y the large boxes)

Y = 3X

Equation one is then changed to equation 2, and variable X is eliminated:

150X + 400 (3X) = 2700

150X + 1200X = 2700 1350X = 2700 X = 2700/1350 X = 2

In order to determine the number of big boxes, equation 2's value of X is finally changed:

Y = 3X

Y = 3

Y = 6

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There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box?

Sagot :

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