Question

Matt has three times as many stickers as David. How many stickers must Matt give David so that they will each have 140 stickers?

Answer 1

Step 1

Let the number of stickers David has = m

Let the number of stickers Matt has = 3m

Step 2

Let Matt gives David n number of stickers

`\begin{gathered} \text{m + n = 140} \\ m\text{ = 140 - n} \\ For\text{ Matt} \\ 3m\text{ - n = 140} \\ 3(140\text{ - n\rparen - n = 140} \\ 420\text{ - 3n - n = 140} \\ 420\text{ - 140 = 4n} \\ 280\text{ = 4n} \\ Divide\text{ both sides by 4} \\ (4n)/(4)\text{ = }(280)/(4) \\ \text{n = 70} \end{gathered}`

Final answer

Matt needs to give David 70 stickers so that they both will have 140 stickers.