Question

a pen costs 32 cents and a pencil costs 25 cents. kwok buys x pens and y pencils. express each of the following statements as an inequality: a)kwok buys at least 4 pencils b)kwok buys more pens than pencils. c)kwok spends no more than 3.00 dollars

Answer 1

(a)
`y \geq 4`

(b)
`x >y`

(c)
`32 x+25y = \$300`

Explanation:

We are given that a pen costs 32 cents and a pencil costs 25 cents. Kwok buys x pens and y pencils.

We have to express each of the following statements as an inequality.

(a) Kwok buys at least 4 pencils;

As it is given that the number of pencils bought by Kwok is y pencils and our statement states that Kwok buys at least 4 pencils.

So, the inequality that represents the above situation is given by;

`y \geq 4`

(b) Kwok buys more pens than pencils;

As it is given that the number of pens bought by Kwok is x pens and the number of pencils bought by Kwok is y pencils and our statement states that Kwok buys more pens than pencils.

So, the inequality that represents the above situation is given by;

`x >y`

(c) Kwok spends no more than 3.00 dollars;

As we know that a pen costs 32 cents and a pencil costs 25 cents.

Also, Expenditure = Price
`*` Quantity

So, the inequality that represents the above situation is given by;

`0.32 x+0.25y = \$3`

`32 x+25y = \$300`