Two multipedes are cantering through a shopping mall when they come to a sock shop.They count up all their feet and find that three dozen or 36 socks will be just enough to keep all of their feet warm. If one of them has eight more than the other , how many feet does each multipede have ?
To solve this problem, we need to set up an equation based on the given information.
Let's assume that one multipede has x feet. Since the other multipede has 8 more feet, it will have x + 8 feet.
Now, let's calculate the total number of feet for both multipedes. Since each multipede has x feet, the total number of feet for both will be 2x.
According to the given information, three dozen or 36 socks are enough to keep all their feet warm. Since each multipede has the same number of feet, each pair of socks will cover two feet.
Therefore, the number of pairs of socks needed will be equal to half the number of feet. Mathematically, we can express this as:
2x/2 = 36/2
x = 18
So, one multipede has 18 feet, and the other has 18 + 8 = 26 feet.
number of feet of first ---- x
number of feet of the foot-advantaged ---- x+8
solve for x
x + x+8 = 36