Mr. Lynch bought some oranges and pears.after giving away 10 oranges, he had twice as many pears as oranges left.if he had 24 pears in the end,what was the ratio of the number of oranges to the number of pears he had at first?

6 answers

number of oranges --- x

after give-away
number of oranges = x-10
number of pears = 24
and he had twice as many pears as oranges
24 = 2(x-1)
2x - 2 = 24
x = 13

ratio of oranges : pears = 13 : 24
number of oranges --- x

after give-away
number of oranges = x-10
number of pears = 24
and he had twice as many pears as oranges
24 = 2(x-1)
2x - 2 = 24
x = 12

ratio of oranges : pears = 12 : 24
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Answer: 11:12

Explanation:

1/2 x 24 is 12 because in the end there were double the amount of pears to oranges. Add 10 to 12 because 10 oranges were removed. So the final ratio is 22 : 24 simplified to 11 : 12.