This seems to assume that the 10 strangers are not someone else’s children.
My understanding of utilitarianism is that other factors than keeping someone alive should be considered. Is it utilitarian to save 10 elderly people over the life of a child? It might not be, depending on how long the elderly are expected to live, and if the remainder of their lives is as valuable as those of a child (eg, will their remaining years be unproductive and sickly due to age, while the child’s life may be full of productivity and health).
My understanding of utilitarianism is that other factors than keeping someone alive should be considered. Is it utilitarian to save 10 elderly people over the life of a child? It might not be, depending on how long the elderly are expected to live, and if the remainder of their lives is as valuable as those of a child (eg, will their remaining years be unproductive and sickly due to age, while the child’s life may be full of productivity and health).