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. How many kilograms of grapes did the basket contain?

1.5 kg

Step-by-step explanation:

quantity of grapes in the basket = x

quantity of grapes in the box  = 2x

2 kg is added to the basket.

After adding, quantity of grapes in the basket = x + 2

(x + 2) - 2x = 0.5 kg

x + 2 - 2x = 0.5

        -x + 2 = 0.5

           -x = 0.5 - 2

           -x = -1.5

             x = 1.5 kg

The basket contain 1.5 kg of grapes

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3