Melon one is 16 kilograms and 4 times heavier than melon three. Melons one and two together are 7 times heavier than melon three. Find the weight of each melon.
Answers
Melon 1 =16kg
Melon1 is 4 times heavier than melon3 then the weight of melon3 is one-fourth of that of melon1
Melon 3 =4kg
Melon 2:=x
16+x=7times of melon 3
=28 kg
Then x=weight of melon 2=12kg
Answer:
Weight of Melon 1 is 16 kg
Weight of melon 2 is 12 kg
Weight of melon 3 is 4 kg
Step-by-step explanation:
Let us assume melon 1 as X melon 2 as Y and melon 3 as Z,
Given that melon 1 is 16 kg, therefore X= 16 kg
It is stated that melon 1 is 4 times heavier than melon 3
Therefore X = 4Z, [equation 1]
substituting the value of X in equation 1 we get,
16 = 4Z
Z = 16/4 => Z = 4 kg
It is also stated that the weight of the melon 1 &2 together are 7 times heavier than third melon,
Therefore , X + Y = 7Z [equation 2]
Substituting the value of X and Z in equation 2 we get,
16 + Y = 7(4)
=> 16 + Y = 28
=> Y = 28-16
Y = 12 kg
The weight of each melon X, Y, and Z are 16kg, 12kg, and 4kg respectively.