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Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxes of nails Peter will get if he buys n boards. If each box has 100 nails, explain how to write an expression to find how many nails Peter will have if he purchases 90 boards.​

Answer :

Answer:

n/5 and 1800 nails

Step-by-step explanation:

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.

Answer: a. The number of 10-boards Peter bought is equal to n divided by 10. Then, each of the 10-boxes will get two boxes of nails. The number of boxes of nails that Peter will have after buying n boards will be,

   N = (2)(n/10)

Simplifying,

  N = n/5

b. If the number of boards are 90 then,

    N2 = (90/10)(2)(100 nails/box)

    N2 = 1800

Answer: 1800

Step-by-step explanation:

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