contestada

When water freezes its volume increases by 9 percent. how many cubic meters of water must freeze in order to oproduce 545 cubic meters of ice?

Respuesta :

calculista
let
x------> cubic meters of water
y-----> cubic meters of ice

we know that

y=1.09*x------> x=y/1.09
y=545 m³
x=545/1.09
x=500 m³

the answer is
500 m³ of water

Answer:

500 cubic meters must freeze.

Step-by-step explanation:

Suppose x cubic meters of ice must freeze in order to produce 545 cubic meters of ice.

Since, when water freezes its volume increases by 9 percent,

So, the volume of frozen water = x + 9 % of x

[tex]=x+\frac{9x}{100}[/tex]

[tex]=\frac{100x+9x}{100}[/tex]

[tex]=\frac{109x}{100}[/tex]

[tex]=1.09x[/tex]

According to the question,

1.09x = 545

Divide both sides by 1.09,

x = 500

Hence, 500 cubic meters of water must freeze in order to produce 545 cubic meters of ice.

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