167 is the answer to this question
we know that
meter is equal to
centimeters
Step ![1](https://tex.z-dn.net/?f=%201%20)
<u>convert all measurements to centimeters</u>
<u>case 1) </u>![0.81\ m](https://tex.z-dn.net/?f=%200.81%5C%20m)
![0.81\ m = 0.81*100= 81\ cm](https://tex.z-dn.net/?f=%200.81%5C%20m%20%3D%200.81%2A100%3D%2081%5C%20cm%20)
<u>case 2) </u>![1.08\ m](https://tex.z-dn.net/?f=%201.08%5C%20m)
![1.08\ m = 1.08*100= 108\ cm](https://tex.z-dn.net/?f=%201.08%5C%20m%20%3D%201.08%2A100%3D%20108%5C%20cm%20)
<u>case 3) </u>![0.8\ m](https://tex.z-dn.net/?f=%200.8%5C%20m)
![0.8\ m = 0.8*100= 80\ cm](https://tex.z-dn.net/?f=%200.8%5C%20m%20%3D%200.8%2A100%3D%2080%5C%20cm%20)
<u>case 4) </u>![180\ cm](https://tex.z-dn.net/?f=%20180%5C%20cm)
<u>case 5) </u>![18\ cm](https://tex.z-dn.net/?f=%2018%5C%20cm)
Step ![2](https://tex.z-dn.net/?f=%202%20)
<u>Compare the values</u>
we have
![[81,108,80,180,18]](https://tex.z-dn.net/?f=%20%5B81%2C108%2C80%2C180%2C18%5D%20)
the shortest length is ![18](https://tex.z-dn.net/?f=%2018%20)
the longest length is ![180](https://tex.z-dn.net/?f=%20180%20)
Step ![3](https://tex.z-dn.net/?f=%203%20)
<u>Subtract the shortest length from the longest</u>
![180\ cm-18\ cm=162\ cm](https://tex.z-dn.net/?f=%20180%5C%20cm-18%5C%20cm%3D162%5C%20cm%20)
therefore
<u>the answer is</u>
![162\ cm](https://tex.z-dn.net/?f=%20162%5C%20cm)
I think u use multiplication
It would be 50 times 0.075=3.75 sales tax and add that to the cost of the earrings =$53.75
84 pounds of Type B coffee is used
<em><u>Solution:</u></em>
Let "x" be the pounds of type A coffee
Let "y" be the pounds of type B coffee
Cost per pound of type A = $ 5.50
Cost per pound of Type B = $ 4.20
<em><u>This month, Chau made 143 pounds of the blend</u></em>
x + y = 143
x = 143 - y -------- eqn 1
<em><u>For a total cost of $677.30. Thus we frame a equation as:</u></em>
pounds of type A coffee x Cost per pound of type A + pounds of type B coffee x Cost per pound of Type B = 677.30
![x \times 5.50 + y \times 4.20 = 677.30\\\\5.5x + 4.2y = 677.30 -------- eqn 2](https://tex.z-dn.net/?f=x%20%5Ctimes%205.50%20%2B%20y%20%5Ctimes%204.20%20%3D%20677.30%5C%5C%5C%5C5.5x%20%2B%204.2y%20%3D%20677.30%20--------%20eqn%202)
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
![5.5(143-y) +4.2y = 677.30\\\\786.5 -5.5y + 4.2y = 677.30\\\\5.5y - 4.2y = 786.5 - 677.30\\\\1.3y = 109.2\\\\Divide\ both\ sides\ by\ 1.3\\\\y = 84](https://tex.z-dn.net/?f=5.5%28143-y%29%20%2B4.2y%20%3D%20677.30%5C%5C%5C%5C786.5%20-5.5y%20%2B%204.2y%20%3D%20677.30%5C%5C%5C%5C5.5y%20-%204.2y%20%3D%20786.5%20-%20677.30%5C%5C%5C%5C1.3y%20%3D%20109.2%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%201.3%5C%5C%5C%5Cy%20%3D%2084)
Thus 84 pounds of Type B coffee is used