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If 3 over 4 ton of pebbles covers 4 over 5 of a garden, how many tons of pebbles are required to cover the entire garden?

3 over 5 ton

15 over 16 ton

1 and 1 over 3 tons

1 and 11 over 20 tons

I am in middle school, I just clicked the wrong button.

Respuesta :

Heather

Answer:

[tex]\frac{15}{16}[/tex] ton of pebbles will cover the whole garden.

Step-by-step explanation:

So [tex]\frac{3}{4}[/tex] ton covers [tex]\frac{4}{5}[/tex] of the garden.

Let x be pebbles required to cover the entire garden, we can set up a proportion:

[tex]\frac{\frac{3}{4} }{\frac{4}{5} } =\frac{x}{1}[/tex]

[tex]\frac{3}{4}[/tex] / [tex]\frac{4}{5}[/tex]  = x

[tex]\frac{3}{4}[/tex] * [tex]\frac{5}{4}[/tex] = x

[tex]\frac{15}{16}[/tex] = x

[tex]\frac{15}{16}[/tex] ton of pebbles will cover the whole garden.

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