In a poll in a school, students picked whether they liked apples or oranges more. The ratio for this was 5:8. Five absent students were polled the next day and each of them preferred apples and the new ratio was 5:6. How many people were originally polled?

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In a poll in a school, students picked whether they liked apples or oranges more. The ratio for this was 5:8. Five absent students were polled the next day and each of them preferred apples and the new ratio was 5:6. How many people were originally polled?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Say there are x students of which y like apples y:x-y = 5:8 y+5:x-y =5:6
You arent making any sense. whats the answer then?
it might be easier to look at it in fraction form y/(x-y) = 5/8 (y+5)/(x-y) = 5/6 y is the students who like apples, x is the total num of students x-y students like oranges you have to solve the system of proportions for x and y

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wouldnt the denominator for the second one be (x-y+5)
no because the num of students that liked oranges did not change
okay
so... what next?
i would solve one of the equations for y, then substitute into the other equation in order to find x
what do you get as your answer?
x = 39 y = 15
Thats correct! I'm a bit slow on systems... Thanks for showing me how to do it.

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