Hassem and his family cut an apple pie into 5 equal slices and a blueberry pie into 10 equal slices. they ate 3/5 of the apple pie. if they ate the same fraction of the blueberry pie, how many slices of the blueberry pie did they eat?

Hassem and his family ate 6 slices of blueberry pie.

Step-by-step explanation:

The question states that Hassem and his family cut the blueberry pie into 10 equal slices.

Hassem and his family ate 3/5 of the apple pie, if they ate the same fraction of the blueberry pie, this implies that Hassem and his family ate 3/5 of the blueberry pie.

Since the blueberry is cut into 10 equal slices,  the number of slices Hassan and his family ate is simply 3/5 of 10 = × 10  =  =  6 slices.

Therefore, Hassem and his family ate 6 slices of blueberry pie.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

7.3

step-by-step explanation: