A pitcher has 16 cups of water in it. During the day, Aditi drank 21⁄2 cups, Kavitha drank 33⁄4 cups, and Rahul drank 41⁄8 cups. How many cups of water are still in the pitcher?

Respuesta :

Total cups of water in pitcher = 16 cups

Cups of water drank by Aditi = [tex]2 \frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] cups

Cups of water drank by Kavitha = [tex]3 \frac{3}{4}[/tex]=  [tex]\frac{15}{4}[/tex] cups

Cups of water drank by Rahul = [tex]4 \frac{1}{8}[/tex]=  [tex]\frac{33}{8}[/tex] cups

Total cups of water drank by three of them

= [tex]\frac{5}{2}[/tex] +  [tex]\frac{15}{4}[/tex] + [tex]\frac{33}{8}[/tex]

LCM of 2,4 and 8 is 8.

= [tex]\frac{20+30+33}{8}[/tex]

= [tex]\frac{83}{8}[/tex] cups

Number of cups left in the pitcher = [tex]16 - \frac{83}{8}[/tex]

LCM of 1 and 8 is 8.

= [tex]\frac{128-83}{8}[/tex]

= [tex]\frac{45}{8}[/tex]

=[tex]5 \frac{5}{8}[/tex] cups

So, [tex]5 \frac{5}{8}[/tex] cups are left in the pitcher.

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