A company owner has a container with 𝑛 boxes of soap that will be distributed to multiple stores. If the owner gives each store four boxes, he will have seven boxes left over in the container. In order to give each store six boxes, the owner will need an additional 37 boxes. How many stores will the boxes be distributed to?
The first thing that happens is the owner gives four boxes to each store. He has seven left over. If he gets 37 additional boxes, 37 new boxes, he can give six boxes to each store. This means that with the seven left over and the 37 new boxes, he will be able to give two boxes to each store since they already had four boxes. If we add seven plus 37, we get 44. And from these 44, he gave two boxes to each store. To find out how many stores there were, we need to divide 44 by two which gives us 22. And so we can say that the company owner distributed boxes to 22 stores.