Aaron, Ben and Caleb all have grabbed some lollies from a jar. Ben has twice as many lollies as Aaron, and Caleb has 5 more lollies than Ben. If there are 65 lollies
altogether, how many does each have?
(create an equation and then solve it, allow Aaron to represent a lollies)

Step-by-step explanation:

So, to start off with, find all of the variables in the equation.

Aaron: x

Ben: 2x

C: (5 + 2x)

65 is how many lollies we they have altogether.

So now we start to make the equation.

x + 2x + 5 + 2x = 65.

Add like terms.

5x + 5 = 65.

65 - 5 = 60

5x = 60

60/5 = 12

Aaron = 12 lollies

Now find the amount of bens lollies

2(12) = 24

Ben = 24 lollies

24 + 5 = 29

Caleb = 29 lollies.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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