Question

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?

Answer 1

Anthony=14 sweets

Bev= 10 sweets

Cathy=17 sweets

Explanation:

Let x be the number of sweets Anthony has.

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

`Anthony=x\\\\Bev=x-4\\\\Cathy=x+3`

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

`x+(x-4)+(x+3)=41\\\\3x=42\\\\x=14\\\\Anthony=14\\\\Bev=x-4=14-4=10\\\\Cathy=x+3=14+3=17`