Gordon Ramsey made a stew that contained shrimp and potatoes. Shrimp was expensive, so he used three times the amount of potatoes as he did shrimp. If the stew had 5 lbs. Total shrimp and potatoes, how many pounds of potatoes did he buy?

Respuesta :

Answer:

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

Step-by-step explanation:

Since the stew is composed of shrimps and potatoes, then the sum of the weighs of these ingredients must be equal to the weigh of the stew, so we have:

[tex]shrimp + potato = 5[/tex]

We also know that he bought three times more potatoes than shrimps, therefore:

[tex]potato = 3*shrimp[/tex]

Using the second equation on the first one, we have:

[tex]shrimp + 3*shrimp = 5\\4*shrimp = 5\\shrimp = \frac{5}{4} = 1.25[/tex]

[tex]potato = 3*shrimp = 3*1.25 = 3.75[/tex]

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.