laura is 2 inches taller than rebecca. maxine is 4 inches taller than rebecca. the total height for the three girls is 150 inches. how tall is rebecca
(r+2) + r + (r+4) = 150
3r+6 = 150
3r = 144
r = 48
now the others are clear, no?
4+2=6
150-6=144
r=144 inches
To find out how tall Rebecca is, let's break down the information we have:
1. Laura is 2 inches taller than Rebecca.
2. Maxine is 4 inches taller than Rebecca.
3. The total height for the three girls is 150 inches.
Let's assign a variable to represent Rebecca's height. We'll call it "R".
Since Laura is 2 inches taller than Rebecca, Laura's height would be R + 2.
Similarly, Maxine is 4 inches taller than Rebecca, so Maxine's height would be R + 4.
Now, we know that the total height for the three girls is 150 inches. Adding the heights of Rebecca, Laura, and Maxine, we get:
R + (R + 2) + (R + 4) = 150
Now we can solve the equation to find R, Rebecca's height:
3R + 6 = 150
Subtracting 6 from both sides:
3R = 144
Dividing both sides by 3:
R = 48
Therefore, Rebecca's height is 48 inches.