Question

Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.54.5 kilograms of pasta and more than 6.36.3 liters of sauce to cook spaghetti and lasagna. 0.3S+0.65L \geq 4.50.3S+0.65L?4.5 represents the number of batches of spaghetti SS and lasagna LL Antonius can cook to use at least 4.54.5 kilograms of pasta. 0.25S+0.8L >6.30.25S+0.8L>6.3 represents the number of batches of spaghetti and lasagna Antonius can cook to use more than 6.36.3 liters of sauce. Does Antonius meet both of his expectations by cooking 1010 batches of spaghetti and 44 batches of lasagna?

Answer 1

B Antonio’s uses the expected amount of pasta but not the expected amount of sauce

Explanation:

Answer 2

Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.

Explanation:

Since here s represents the number of batches of spaghetti and l represents the total number of lasagna.

And according to the question,

He planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.

Which is shown by the below inequality,

`0.3S+0.65L \geq 4.5` ----------(1)

And,
`0.25 S+0.8 L >6.3` --------(2)

By putting S = 10 and L = 4 in the inequality (1),

`0.3* 10+0.65* 4 \geq 4.5`

`3+2.6 \geq 4.5`

`5.6 \geq 4.5` (true)

That is, for the values S = 10 and L = 4 the inequality (1) is followed.

Again By putting S = 10 and L = 4 in the inequality (2),

`0.25* 10+0.8* 4 >6.3`

`2.5+3.2 >6.3`

`5.7 >6.3` ( false)

That is, for the values S = 10 and L = 4 the inequality (2) is not followed.

Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.