Question

In terms of calories, 20 jamuns and 3 bananas combined are equivalent to one mango and one papaya combined, and 2 mangoes and 5 Bananas combined are equivalent to 4 papayas and 80 jamuns combined. Then 8 papayas and 2 mangoes are equivalent to how many bananas?​

Answer 1

Answer:

17

Step-by-step explanation:

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Answer 2

Answer:

In the given terms, 8 papayas and 2 mangoes are equivalent to 17 bananas.

8 Papayas + 2 Mangoes = 17 Bananas

Step-by-step explanation:

Given:

Fruits name given,

• Jamun        ⇒  J                
• Banana       ⇒  B
• Mango        ⇒  M

• Papaya       ⇒  P

Condition given,    

1 ⇒ $20J + 3B = M + P$  

2 ⇒ $2M + 5B = 80J + 4P$  

3 ⇒  $8P + 2M = XB$              

where X is the number of bananas that present in the equation no.3 .

From the equation no.1,

               $20J + 3B = M + P$

               $20J = M + P - 3B$

Multiply the above equation by 4 on both sides and the final equation is given by,

               $80J = 4M + 4P - 12B$  ⇒ (4)

Substitute the equation no.4  in the place of 80 Jamun in the equation no.2,

               $2M + 5B = 4P + 4M -12B$

               $8P + 2M -17B = 0$

               $8P + 2M = 17B$

Since equation no.3 matches the above equation's left hand side so we can modify the above equation and the final equation is given by,

               $XB = 17B$

               $X = 17$

Therefore the 8 papayas and 2 mangoes are equivalent to 17 bananas

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