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

Matt has three times as many stickers as David. How many stickers must Matt give David-example-1

1 Answer

4 votes

Solution

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.

User Callum Linington
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