Amy is making a big square with stones on the beach. There will be a same number of stones on each side. Each corner has a stone. The perimeter of the square is 72 m, and the distance between each stone is always 2 m. How many stones are there on each side? How many stones are there in all?

Answer 1

Let's denote the number of stones on each side as x. Since there are stones on each corner, each side of the square will have x - 1 gaps between stones. The total length of the square's perimeter is made up of the stones and the gaps between them.

The equation for the perimeter is given by:
72 = 4x + 2(x-1)
72 = 4x + 2x - 2
72 = 6x - 2
74 = 6x
x = 74/6
x = 12.33

Since the number of stones must be a whole number, we will use the closest whole number to 12.33, which is 12. Therefore, there are 12 stones on each side of the square.

So, the total number of stones in the square is:
12 stones * 4 sides = 48 stones

There are 12 stones on each side and a total of 48 stones in all.

Answer 2

Cindy has a long necklace and she wants to have cut into 5 bracelets for her friends. Jeweler charges $2.50 for each cut. How much does Cindy need to pay for the cuts?

Answer 3

Since Cindy wants to have the long necklace cut into 5 bracelets for her friends, she will need 4 cuts to separate the 5 bracelets.

The cost of each cut is $2.50, so the total cost for the cuts will be:
4 cuts * $2.50 per cut = $10

Therefore, Cindy needs to pay $10 for the cuts in order to separate the long necklace into 5 bracelets for her friends.