A vendor buys x kg of peanuts and kg of cashew nuts.

(a) To get a good bargain, she must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts.

(i)Write TWO inequalities which satisfy these conditions.

(ii) She buys no more than 60 kg of nuts. Peanuts cost $4.00 per kg and cashew nuts cost $8.00 per kg and she spends at least $200.
Write Two inequalities which satisfy these conditions. ​

Respuesta :

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

What is an inequality?

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Let x represent the number of peanuts and y represent the number of cashew nuts.

She must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts. Hence:

x ≥ 10, y ≥5

Also:

x + y ≤ 60

And:

4x + 8y ≥ 200

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

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