Question

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?

Answer 1

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!