Question

Use the distributive property to write two different expressions equal to 72 Each expression should be the product of a number and a sum. Show your work

Answer 1

Let's begin by listing out the given information:

$\begin{gathered} 3(10+14)\Rightarrow3\cdot10+3\cdot14 \\ \Rightarrow30+42=72 \\ \therefore3(10+14)=72 \\ \\ 4(5+13)\Rightarrow4\cdot5+4\cdot13 \\ \Rightarrow20+52=72 \\ \therefore4(5+13)=72 \\ \\ 8(3+6)\Rightarrow8\cdot3+8\cdot6 \\ \Rightarrow24+48=72 \\ \therefore8(3+6)=72 \end{gathered}$