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A quarter is 1/5 of an inch thick and 5 quarters weigh one ounce. Stephanie built a toothpick bridge that could safely hold 3 pounds. Stephanie wanted to make a tall tower of quarters on her bridge. What is the highest her quarter tower could be and not go over 3 pounds?

Answer :

Answer:

Maximum height of quarter tower = 9.6 inches.

Step-by-step explanation:

The thickness of a quarter = [tex]\frac{1}{5}[/tex] inches

Weight of a quarter = 1 ounce

The maximum weight that could safely hold = 3 pounds.

The conversion factor for ounce to pound is 1 ounce = 0.0625 pound

The number of quarter used in the tower = no of ounces equivalent to 3 pounds.

No of ounces equivalent to 3 pounds = [tex]\frac{3}{0.0625}[/tex]

No of ounces equivalent to 3 pounds = 48

So the height of quarter tower = 48 \times [tex]\frac{1}{5}[/tex] inches

                                                   = 9.6 inches.

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