Question

A basket contains 1/3 as many apples oranges and 3/4 as many oranges and pears there are 64 pairs what is the ratio of the number of Apples to the total of the number of fruit in the basket

Answer 1

a=# of apples

3/8(a)=# of oranges

p=# of pears

3/4(p)=# of oranges

(3/8)a=(3/4)p

(3/8)/(3/4)=p/a

(3/8)(6/8)=p/a

3/6=p/a

1/2=p/a

the ratios of pears to apples is 1 to 2

for every 1 pear there are 2 apples

if there are 4 pears there are 8 apples

there are 8 apples

(3/8)(8)=3 oranges

there are 4 pears

(3/4)(4)=3 oranges again

8 apples, 3 oranges, 4 pears

15 pieces of fruit and 3 are oranges

ratio is 3/15=1/5