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Anthony, Bev and Cathy are comparing how many sweets they have.
Anthony has 4 more than Bev, but 3 fewer than Cathy. In total they
have 41 sweets. How many sweets do they each have?

Respuesta :

opudodennis

Answer:

Anthony=14 sweets

Bev= 10 sweets

Cathy=17 sweets

Step-by-step explanation:

Let x be the number of sweets Anthony has.

-The rest's portion can be expressed in terms of x as:

[tex]Anthony=x\\\\Bev=x-4\\\\Cathy=x+3[/tex]

#We equate their sums to the total, 41 to solve for x:

[tex]x+(x-4)+(x+3)=41\\\\3x=42\\\\x=14\\\\Anthony=14\\\\Bev=x-4=14-4=10\\\\Cathy=x+3=14+3=17[/tex]

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