Question

It takes 22 wooden sticks and 1.51.5 square feet of paper to make a kite, and it takes 1212 wooden sticks and 88 square feet of paper to make a lamp. Min-Young wants to make kites and lamps using at least 8787 wooden sticks and more than 6363 square feet of paper. Let KK denote the number of kites she makes and LL the number of lamps she makes. Write an inequality that represents the condition based on the number of wooden sticks.

Answer 1

`2K+12L\geq87`

Explanation:

Let K be the number of kites made by Min-young and L be the number of lamps made by Min-young.

We are told that it takes 2 wooden sticks to make a kite, so number of sticks used to make K kites will be 2K.

We are also told that it takes 12 wooden sticks to make a lamp, so number of sticks used to make L lamps will be 12L.

As Min-Young wants to make kites and lamps using at least 87 wooden sticks, so the total number of sticks used in making K kites and L lamps will be greater than or equal to 87.

We can represent this information in an inequality as:

`2K+12L\geq87`

Therefore, the our required inequality will be
`2K+12L\geq87`.