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.

Question

Vocaloid · Answer

Let’s separate the question into its two parts.

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 he buys 10 boards, he gets 2 boxes

If he buys 20 boards, that’s 20/10 = 2 sets of 10, and each set of 10 gives him 2 boxes of nails.

The pattern continues for n boards. Take n, divide by 10, multiply by 2 —> (n/10)*2

I would also write that the expression should be rounded down to the nearest integer. (You can’t get half a box of nails, you can only get whole numbers)

Vocaloid · Answer

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.

We already have an expression for how many boxes of nails you get for n boards. Since each box has 100 nails, take the expression from the previous part and multiply it by 100.

Since it’s asking how many nails for 90 boards, plug in n = 90 in the expression and calculate the number of nails.

Fortish · Answer

@vocaloid wrote:

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. We already have an expression for how many boxes of nails you get for n boards. Since each box has 100 nails, take the expression from the previous part and multiply it by 100. Since it’s asking how many nails for 90 boards, plug in n = 90 in the expression and calculate the number of nails.

Ty, but i already got it a little while ago. :)