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At a bakery, 6 ½ quarts of cake mix can be used to bake 3 ½ cakes. If 14 cakes are going to be baked, how many quarts of cake mix will be needed? *

Just show your work, and explain how you did it!

Respuesta :

sreedevi102

Answer:

26 quarts

Step-by-step explanation:

[tex]6\frac{1}{2} = \frac{13}{2}\\\\3\frac{1}{2} = \frac{7}{2}[/tex]

Quarts                 Cake

  [tex]\frac{13}{2}[/tex]                        [tex]\frac{7}{2}[/tex]

   x                        14

find x.

Cross multiply to find x.

[tex]x \times \frac{7}{2} = 14\times \frac{13}{2}\\\\\frac{7x}{2} = 7 \times 13\\\\7x = 7 \times 13 \times 2\\\\x = \frac{7 \times 13 \times 2}{7} = 26[/tex]

So you need 26 quarts for 14 cakes

Abbeylovesemma
26! Hope this helps

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