Devi likes arranging fruit platters. In a fruit platter competition Devi joined, the ratio of pears to avocados the organiser prepared was 3 : 7. If 84 avocados were added, the ratio of pears to avocados would be 3 : 13. How many pears were there?
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Answered by
4
Step-by-step explanation:
- pears to avocado ratio 3:7 that means we let 3x and 7x
- then 84 avocado added
- 3x/7x+84=3/13
Answered by
0
There were 18 pears.
Let P be pear and A be avocado
P : A = 3 : 7
3A = 7P
P : (A+84) = 3 : 13
3(A+84) = 13P
3A + 252 = 13P
7P + 252 = 13P
(13 – 7)P = 252
14P = 252
⇒ P = 252/14
⇒ P = 18
3A = 7 × 18
A = 42
Thus, there were 18 pears.
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