Question

It takes 2 wooden sticks and 1.5, point, 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

Answer:

$2K+12L\ge 87.$

$5K+8L> 63.$

Step-by-step explanation:

Let K denote the number of kites Min-Young makes and L denote the number of lamps she makes.

1. It takes 2 wooden sticks to make a kite, and it takes 12 wooden sticks to make a lamp. Then it takes 2K and 12L to make K kites and L lamps. she uses at least 87 wooden sticks, thus,

$2K+12L\ge 87.$

2. It takes 5 square feet of paper to make a kite, and it takes 8 square feet of paper to make a lamp. Then it takes 5K and 8L to make K kites and L lamps. she uses more than 63 square feet of paper, thus,

$5K+8L> 63.$

Answer 2

2K + 12L ≥ 87 and 1.5K + 8L > 63

Step-by-step 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)

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