2 questions:

a) - Danny poured 78 liters of water into containers x,y,z. The ratio of the volume of water in container X to the volume of water in container Y is 5:2. The Ratio of the volume of water In Y to the volume in Z is 8:11

a- How much water was poured into container X

b - How much more water was poured into container x than z

b) - Lara has three cats: Socks, Princess, and Luna. The ratio of Sock's weight to Princess's weight is 4:5. The ratio of Princess's Weight to Luna's weight is 6:7. What is the ratio of Sock's weight to Luna's weight.

No algebra and go into as much detail as possible. Thanks

X+ Y + Z = 78

X/Y = 5/2 Solving System of equation, by method is called back substitution.

Y/Z = 8/11

Y = 2X/ 5

Z = 11Y/ 8Z = 11* 2/5 X / 8 = 11X/20

X + 2X/5 + 11X/20 = 78(20) / substitution of Y. Z for X

20X +8X + 11X = 78( 20)

39 X = 78(20)

X = 40 Liter

Y = 2/5(40) = 16 Liter

c) Z = 11/20 X = 11/20 * 40 = 22

Next problem is the same

S - Sock's Weight

P - Princess Weight

L - Luna's weight

S/ P = 4/5

P/L = 6/7

S/ L = ?

S/L = S/P * P/ L = 4/5* 6/7 = 24/35

## Comments

The answer was very helpful to me.