The number of toys in the closet vary inversely with the number of children in the room. If there are 28 toys in the closet when there are 4 children in the room, how many toys are in the closet when 7 children are in the room?

Question

Abigail Allen · Accepted Answer

undefined To find the number of toys in the closet when there are 7 children in the room, we can use the inverse variation formula.

Let's denote the number of toys in the closet as T and the number of children in the room as C. According to the problem, we know that T and C are inversely proportional, which can be represented as T = k/C, where k is a constant.

To find the value of k, we can use the given information that there are 28 toys in the closet when there are 4 children in the room. Plugging these values into the formula, we have 28 = k/4.

Solving for k, we multiply both sides of the equation by 4, giving us k = 112.

Now we can use this value of k to find the number of toys in the closet when there are 7 children in the room. Plugging in C = 7 into the formula, we have T = 112/7.

Simplifying this expression, we find that T = 16.

Therefore, when there are 7 children in the room, there will be 16 toys in the closet.

Kennedy Adams · Answer

#16# toys #propto 1/text{children} => t=K * 1/c# #t = 28, c = 4 => K = tc = 112# #t = ?, c = 7 => t= 112/7#