356116
contestada

A statue is made of gold and silver in the ratio of 2:5. If the weight of the silver in the statue is 140 pounds, what is the weight of the gold?

Respuesta :

140=5
56=2

The weight of the gold is 56.

You do 140 divided by 5 to get 28. Then 28x2 to get 56.

Hope this helps:)

Answer: 56 pounds

Step-by-step explanation:

Given : A statue is made of gold and silver in the ratio of 2:5.

[tex]\dfrac{\text{Weight of gold }}{\text{Weight of silver }}=\dfrac{2}{5}[/tex]  (1)

The weight of the silver in the statue is 140 pounds.

Let the weight of the gold be x ( pounds).

Then the ratio of weight of gold and silver will be :-

[tex]\dfrac{\text{Weight of gold }}{\text{Weight of silver }}=\dfrac{x}{140}[/tex]  (2)

From (1) and (2), we have

[tex]\dfrac{x}{140}=\dfrac{2}{5}[/tex]

Multiply 140 on both sides , we get

[tex]x=\dfrac{2}{5}\times140=56\text{ pounds}[/tex]

Hence, the weight of the gold = 56 pounds

ACCESS MORE