What is Michelle's weight?

Question

The total weight of fatimah, ginger, and michelle is 123. Fatimah is 15 pounds heavier than ginger. Ginger is 3 pounds lighter than Michelle.

Answer 1

Here's what we know:

f + g + m = 123 (their weight together is 123)

f = g + 15 (Fatima's 15 lbs heavier than Ginger)

m = g + 3 (If Ginger is 3 lbs lighter, then that means Michelle is 3 lbs heavier)

 

Now to put in our variable values:

g + 15 + g + g + 3 = 123

simplify:

3g + 18 = 123

subtract 18:

3g = 105

Divide by 3:

g = 35

 

f = 35 + 15

f = 50

 

m = 35 + 3

m = 38

 

check:

50 + 35 + 38 = 123

123 = 123