Question

It takes 2 wooden sticks and 1.5 square feet of paper to make a kite, and it takes 12 wooden sticks and 8 square

feet of paper to make a lamp.
Min-Young wants to make kites and lamps using at least 87 wooden sticks and more than 63 square feet of
paper.
Let K denote the number of kites she makes and L the number of lamps she makes.
Write an inequality that represents the condition based on the number of wooden sticks. Write an inequality that represents the condition based on the number of square feet of paper.

Answer 1

1) 2K + 12L ≥ 87

2) 1.5K + 8L > 63

Explanation:

Answer 2

2K + 12L ≥ 87 and 1.5K + 8L > 63

Explanation:

It takes 2 wooden sticks and 1.5 square feet of paper to make a kite, and it takes 12 wooden sticks and 8 square feet of paper to make a lamp.

If K denotes the number of kites that Min-Young made and L denotes the number of lamps she made then

2K + 12L is the number of wooden sticks that she used which is greater than equal to 87

i.e. 2K + 12L ≥ 87 ........ (1)

Again, 1.5K + 8L is the number of square feet of paper that she used which is greater than 63 sq. feet

i.e. 1.5K + 8L > 63 ........... (2)

Hence, inequalities (1) and (2) are the required answer. (Answer)