Question

Albert biked 3 times the number of miles Bob did yesterday. They biked 72 miles altogether. How many miles did Albert bike ?

Answer 1

Hey there!

To start, first let's assign a variable to each person:

A to represent the miles biked by Albert

B to represent the miles biked by Bob

Now, let's set up a system of equations:

A=3B

A + B = 72

Next, use substitution (plug 3B in for A in the second equation since A is equal to 3B):

3B + B = 72

Then, simplify and solve:

3B + B = 72

(combine like terms)

4B = 72

(divide both sides by 4)

B=18

Now that you know the amount that Bob biked, you can plug his miles into the equation for Albert: A=3B

B=18

A=3(18)

A= 54

Your final answer would be that Albert biked 54 miles.

Hope this helps!