# 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 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 $2 d$. So the expression is $5 + 2 d$.

Henry makes $3 per delivery but starts with no money, so that becomes $3 d$. 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 $n$: $5 + 2 d = 3 d$To solve for $d$, we have to isolate it (make it by itself). To do so, first subtract $\textcolor{b l u e}{2 d}$from both sides of the equation: $5 + 2 d \quad \textcolor{b l u e}{- \quad 2 d} = 3 d \quad \textcolor{b l u e}{- \quad 2 d}$$5 = d$or $d = 5\$

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

Hope this helps!