In a basket are 80 bananas, oranges and apples. The number of oranges is 5 more than 1/3 the number of apples.The number of bananas is 1less than...

The total number of fruits in the basket is 80. Let the
number of bananas be B, the number of oranges O and the number of apples
A.

The number of oranges is 5 more than (1/3) the number of
apples.

This gives O = (1/3)*A +
5

The number of bananas is 1 less than (1/4) the number of
apples

This gives B = (1/4)*A -
1

As the total number of fruits is
80

=> A + (1/3)*A + 5 + (1/4)*A - 1 =
80

=> A(1 + 1/3 + 1/4) =
76

=> A(19/12) =
76

=> A = 4*12 = 48

B =
11

O = 21

There
are 48 apples, 11 bananas and 21 oranges in the
basket.