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Danielle earned $20 more than Catalina. Catalina earned $5 more then Leah. Lily earned half of the amount Catalina earned. How much did each girl get?

Find by using an equation

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Aaron C. | Physics PhD experienced in teaching and tutoringPhysics PhD experienced in teaching and ...
1
D = Danielle, C = Catalina, L = Leah (Lily?)

D = 20 + C
C = 5 + L
L = 0.5*C

We have three equations and three unknowns, therefore we are able to solve the problem. Let's substitute one equation into another until we have one equation with one unknown.
 
C = 5 + L = 5 + 0.5*C   Now combine the C terms by subtracting 0.5*C from both sides.

0.5*C = 5   Now divide both sides by 0.5

C = 10

Use this information to solve for L

L = 0.5*C = 0.5*10 = 5

Now plug these values into the equation for D.
 
D = 20 + C = 20 + 10 = 30
 
So, Danielle earned 30 dollars, Catalina earned 10 dollars, and Leah (Lily?) earned 5 dollars.

If Leah and Lily are two different people, there are too many unknowns to solve this problem.

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