Jerod started the night with $5 in his pocket and earns an average of $2 per pizza delivery in tips. Henry earns an average of $3 per pizza delivery in tips. How many deliveries must they both make in order to have the same amount of money?

1 Answer
Jul 14, 2018

Answer:

They must each make 5 deliveries in order to have the same amount of money.

Explanation:

Let's let #d# be the number of deliveries each person makes.

We know that Jared starts with #5#, so that's a constant. However, he also makes #$2# per delivery, or #2d#. So the expression is #5 + 2d#.

Henry makes #$3# per delivery but starts with no money, so that becomes #3d#.

To find the number of deliveries they must both make to have the same amount of money, we make the two expressions equal to each other and solve for #n#:
#5 + 2d = 3d#

To solve for #d#, we have to isolate it (make it by itself). To do so, first subtract #color(blue)(2d)# from both sides of the equation:
#5 + 2d quadcolor(blue)(-quad2d) = 3d quadcolor(blue)(-quad2d)#

#5 = d#
or
#d = 5#

Therefore, they must each make 5 deliveries in order to have the same amount of money.

Hope this helps!