Atank is 4/5 full of water. after drawing off 190 litres of water it is just 1/6 full. what is the capacity of the tank?

300 liters

Step-by-step explanation:

The capacity of the tank is unknown, so we call it x.

The tank starts 4/5 full, so the amount of water in the tank is 4/5 x.

190 liters of water are drawn from the tank, so now the tank has

4/5 x - 190 liters of water left.

We are told that the amount of water left is 1/6 of the capacity of the tank, so the tank now has 1/6 x of water.

4/5 x - 190 = 1/6 x

We now solve the equation for x, the capacity of the tank.

We need a common denominator for 5 and 6. We can use the LCD of 5 and 6 which is 30.

Multiply both sides of the equation by the LCD to eliminate the fractions.

30(4/5 x) - 30 * 190 = 30 * 1/6 x

30/5 * 4x - 5700 = 5x

6 * 4x - 5700 = 5x

24x - 5700 = 5x

Subtract 5x from both sides. Add 5700 to both sides.

19x = 5700

Divide both sides by 19.

x = 300

300 liters

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation: