Question

Watermelon one is 2 kilograms lighter than watermelon two and 5 times lighter than watermelon three. Watermelons one and three together are 3 times heavier than watermelon two. Find the weight of each watermelon.

Answer 1

Let the following :
Watermelon one =X
Watermelon two=Y
Watermelon three=Z
now we are trying to convert words into math!
X is 2 KG less than Y So
X+2=Y(if we add 2 kg to X is becomes Y)
5X=Z(if we have 5X we get Z as X has fifth of Z weight )
X+Z=3Y(3Y will get us X+Z as they are 3 times heavier)
So now we have got 3 equations
X+2=Y
5X=Z
X+Z=3Y
solve the 3 equations and then the values for each of X,Y,Z will be the weight if watermelon 1,2,3 respectively .

Answer 2

The weight of each watermelon is 2 kg , 4 kg , and 10 kg

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

• Elimination Method
• Substitution Method
• Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Weight of Watermelon One = x

Weight of Watermelon Two = y

Weight of Watermelon Three = z

Watermelon one is 2 kilograms lighter than watermelon two

$x = y - 2$ → $y = x + 2$

Watermelon one is 5 times lighter than watermelon three

$x = z \div 5$ → $z = 5x$

Watermelons one and three together are 3 times heavier than watermelon two

$x + z = 3y$

$x + (5x) = 3(x + 2)$

$6x = 3x + 6$

$6x - 3x = 6$

$3x = 6$

$x = 6 \div 3$

$x = 2 ~ \texttt{kilograms}$

$y = x + 2$

$y = 2 + 2$

$y = 4 ~ \texttt{kilograms}$

$z = 5x$

$z = 5(2)$

$z = 10 ~ \texttt{kilograms}$

Learn more

• Perimeter of Rectangle : https://brainly.com/question/12826246
• Elimination Method : https://brainly.com/question/11233927
• Sum of The Ages : https://brainly.com/question/11240586

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations