A watermelon is cut into two pieces in the ratio of 3 : 5 by weight. the bigger of the two is further cut in the ratio of 5 : 7 by weight. find the ratio of weight of each of the three pieces
Answers
Answer:
The first two pieces are in the ratio 3:5. Their weight can be taken as 3x gms and 5x gms respectively.
Of these two 5x gms piece is further divided in the ratio 5:7
So these pieces will be (5/12)5x and (7/12)5x
= (25/12)x gms and (35/12)x GMs.
The ratio of all the three pieces is
3x : (25/12)x : (35/12)x
Multiply by 12 throughout
36x: 25x: 35x= 36:25:35
So, the ratio of all the three pieces is 36:25:35
Answer:
the ratio of all the three pieces is 36:25:35
Step-by-step explanation:
The first two pieces are in the ratio 3:5. Their weight can be taken as 3x gms and 5x gms respectively.
Of these two 5x gms piece is further divided in the ratio 5:7
So these pieces will be (5/12)5x and (7/12)5x
= (25/12)x gms and (35/12)x GMs.
The ratio of all the three pieces is
3x : (25/12)x : (35/12)x
Multiply by 12 throughout
36x: 25x: 35x= 36:25:35
So, the ratio of all the three pieces is 36:25:35