30 ! will mark ! ! ! how many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?

80 liters

Step-by-step explanation:

Let the amount of 60% solution be S60

Let the amount of 30% solution be

S30=40 litres

Let the amount of 50% solution be

S50=40+S60 litres

So for this to balance we have:

60 100

S60

+

(

30

100

×

S

30

)

=

50

100

d

S

50

60

100

S

60

+

(

30

100

×

40

)

=

50

100

(

S

60

+

40

)

3

5

S

60

+

12

=

1

2

S

60

+

20

3

5

S

60

−

1

2

S

60

=

20

−

12

1

10

S

60

=

8

S

60

=

80

litres