SOLUTION: David counted the birds in his garden. 1/3 of the birds were cockatoos and 1/4 were pigeons. He saw 6 more cockatoos than pigeons. How many birds did David see?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: David counted the birds in his garden. 1/3 of the birds were cockatoos and 1/4 were pigeons. He saw 6 more cockatoos than pigeons. How many birds did David see?      Log On


   



Question 957349: David counted the birds in his garden. 1/3 of the birds were cockatoos and 1/4 were pigeons. He saw 6 more cockatoos than pigeons. How many birds did David see?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
1/3 of the birds were cockatoos and 1/4 were pigeons. He saw 6 more cockatoos than pigeons. How many birds did David see?
let x=number of birds he saw
%281%2F3%29x=%281%2F4%29x%2B6 Multiply each side by 12
4x=3x%2B72 Subtract 3x from each side.
x=72 ANSWER: David saw 72 birds.
CHECK:
%281%2F3%29x=%281%2F4%29x%2B6
%281%2F3%2972=%281%2F4%2972%2B6
24=18%2B6
24=24