The ratio of papayas to mangoes is 3:4 and the ratio of papayas to dragon fruits is 5:2 if there are 27 pieces of dragon fruit how many mangoes are there
Answers
Answer:
36
Step-by-step explanation:
GIVEN RATIO OF PAPAYAS TO MANGOES IS 3:4
SO, LET PAPAYAS BE 3K AND MANGOES BE 4K
ALSO SIMILARLY, THE RATIO OF PAPAYAS AND DRAGON FRUITS IS 5:2
SO LET THE PAPAYAS BE 5K AND THE DRAGON FRUIT BE 2K
BUT THE NO. OF DRAGON FRUITS ARE 27
THEREFORE, 5K =3K=27
SO, K = 9
NOW, NO. OF PAPAYAS 3K = 3(9)=36
Answer:
Answer: 90 Mangoes
Step-by-step explanation:
We need to write the ratios as A:B:C where B connects A and C
Let A be the Mangoes B for Papayas C for Dragon fruits
Given:
mangoes: papaya 4:3
papaya: dragon fruits 5:2
Multiply (4:3)by 5 and (5:2) by 3 so that the value of B will be the same.
Resulting Ratios after multiplying 20 : 15 and 15 : 6
Write it as A:B:C -----20:15:6
Solve for no. of Mangoes using the ratio A:C or Mangoes: Dragon Fruits
20:6 = A: 27
6A= 27(20) Cross-multiply
6A = 540
A =90
Answer: 90 Mangoes