SOLUTION: In a basket containing 170 avocados and chicos, 5/8 of the number of avocados is equal to 5/9 of the number of chicos. How many of each kind are there?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a basket containing 170 avocados and chicos, 5/8 of the number of avocados is equal to 5/9 of the number of chicos. How many of each kind are there?      Log On


   

Question 922769: In a basket containing 170 avocados and chicos, 5/8 of the number of avocados is equal to 5/9 of the number of chicos. How many of each kind are there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +%285%2F8%29%2Aa+=+%285%2F9%29%2Ac+
(2) +a+%2B+c+=+170+
-------------------
Divide both sides of (1) by 5
(1) +%281%2F8%29%2Aa+=+%281%2F9%29%2Ac+
(1) +a+=+%288%2F9%29%2Ac+
------------------
By substitution:
(2) +%288%2F9%29%2Ac+%2B+c+=+170+
(2) +%2817%2F9%29%2Ac+=+170+
(2) +c+=+%289%2F17%29%2A170+
(2) +c+=+90+
and
(1) +a+=+%288%2F9%29%2Ac+
(1) +a+=+%288%2F9%29%2A90+
(1) +a+=+80+
There are 80 avocados and 90 chicos
------------
check:
(1) +%285%2F8%29%2Aa+=+%285%2F9%29%2Ac+
(1) +%285%2F8%29%2A80+=+%285%2F9%29%2A90+
(1) +50+=+50+
OK