Compare the two ratios—expand/reduce so that the unchanged quantity is represented by the same number in ratio. Note the change in ratio units.
The common quantity in those ratios is the unchanged number of oranges. The ratio units of the oranges are already equal, so the ratios may be combined as is—no need to reduce/expand the ratios in order to compare them.
There are some apples and oranges in a fruit basket. If Eve eats 2 apples, the number of apples left is 1/5 of the total number of fruits left in the fruit basket. If Eve eats 1 orange, the number of apples left is 2/7 of the total number of fruits left in the fruit basket. How many apples and oranges are there in the fruit basket?
2 answers
a-2 = 1/5 (a-2 + o)
a = 2/7 (a + o-1)
a = 6
o = 16
16 + 6 = 22 fruits altogether
a = 2/7 (a + o-1)
a = 6
o = 16
16 + 6 = 22 fruits altogether
5 answers