Abox 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. how many kilograms of grapes did the basket contain?

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

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

Substituting the value x=2y in the equation, we get

Therefore, the basket contains 1.5 kilograms of grapes.

1.5 kg.

Step-by-step explanation:

in order to solve this problem you just have to give one of the variables a value of "x"

In this case we are going to use the Basket

So basket: "X"

If the box had twice as many grapes that´d mean that

Box: 2x

Now, after adding 2 kilograms the basket had .5 kilograms more than the box, this would be represented like this:

x+2=2x+.5

Since the basket plus 2 kg equals the box plus .5 kilograms.

Now you just clear the x, and you are left with this:

x-2x=.5-2

-x=-1.5

x=

x=1.5

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

answer: i can’t tell you that

step-by-step explanation: