Respuesta :
Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.
It means that the weight of the grapes in the box is x kg and that of basket is y kg.
It has been given that the box had twice as many grapes as a basket. Therefore, we have
[tex]x=2y[/tex]
Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.
Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have
[tex]y+2=x+0.5[/tex]
Substituting the value x=2y in the equation, we get
[tex]y+2=2y+0.5\\ -y=-1.5\\ y=1.5[/tex]
Therefore, the basket contains 1.5 kilograms of grapes.
The basket contains the quantity of the grapes is 1.5 kg and the box contains grapes is 3 kg.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A box had twice as many grapes as a basket.
After 2 kilograms were added to the basket it contained 0.5 kilograms more than the box.
Let y be the grapes in the box and x be the grapes in the basket.
According to the first condition, we have
y = 2x
On simplifying, we have
2x - y = 0 ...1
According to the second condition, we have
x + 2 = y + 0.5
On simplifying, we have
x - y = -1.5 ...2
On solving equations 1 and 2, we have
x = 1.5
y = 3
More about the linear system link is given below.
https://brainly.com/question/20379472
