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?

Respuesta :

(3/4) / (4/5) = x/1
cross multiply
4/5x = 3/4
x = 3/4 * 5/4
x = 15/16 tons to cover entire garden

Answer:

The pebbles are required to cover the entire garden is [tex]\frac{15}{16}[/tex].

Step-by-step explanation:

Consider the provided information.

Convert the provided information into mathematical expression.

3 over 4 ton can be written as [tex]\frac{3}{4}[/tex] and 4 over 5 can be written as [tex]\frac{4}{5}[/tex].

Now, consider the pebbles are required to cover the entire garden is x.

Therefore

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

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

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

Hence, the pebbles are required to cover the entire garden is [tex]\frac{15}{16}[/tex].