if 4/3 liters of water are enough to water 2/5 of the plants in the house, howuch water is necessary to water all the plants in the house? write aultiplication equation and a division equation for the situation then answer the question. show your reasoning ​

Respuesta :

Answer:

[tex]Amount = \frac{10}{3}L[/tex]

Step-by-step explanation:

Given

[tex]Water = \frac{4}{3}L[/tex]

[tex]Plants = \frac{2}{5}[/tex]

Required

Amount of water for the whole plants

The amount of water for the whole plants is calculated as:

[tex]Amount = \frac{Water}{Plants}[/tex]

This gives:

[tex]Amount = \frac{4}{3}L/\frac{2}{5}[/tex] --- The division equation

Convert division to multiplication

[tex]Amount = \frac{4}{3}L*\frac{5}{2}[/tex] --- The multiplication equation

Solving further:

[tex]Amount = \frac{4*5}{3*2}L[/tex]

[tex]Amount = \frac{20}{6}L[/tex]

Simplify:

[tex]Amount = \frac{10}{3}L[/tex]