Respuesta :

Question:

A jeweler is dividing 3/8 of a pound of rubies among 4 lots. What part of a pound will each lot weigh? A.1/4 B.1/8 C.1/16 D.3/32

Answer:

Option D

Each lot weight [tex]\frac{3}{32}[/tex] part of pound

Solution:

Given that,

A jeweler is dividing 3/8 of a pound of rubies among 4 lots

To find: part of a pound each lot weigh

From given,

[tex]\frac{3}{8} \text{ of a pound } = 4 lots[/tex]

Let "x" be the part of a pound each lot weigh

Therefore,

[tex]\frac{3}{8} \text{ of a pound } = 4 lots\\\\"x" part = 1\ lots[/tex]

This forms a proportion and solve by cross multiplying

[tex]\frac{3}{8} \times 1 = 4 \times x\\\\x = \frac{3}{32}[/tex]

Thus, each lot weight [tex]\frac{3}{32}[/tex] part of pound