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Matt has five times as many stickers as David. How many stickers must Matt give David so that they will each have 180 stickers?

User Bjonen
by
6.3k points

1 Answer

2 votes
Answer:

Matt must give David 120 stickers

Step-by-step explanation:

Let the number of stickers that Matt has be m

Let the number of stickers that David has be d

If each of them ends up with 180 stickers each:

the total number of stickers available = 2(180)

the total number of stickers available = 360

Matt has 5 times has many stickers has David

m = 5d

Note that:

Matt's stickers + David's stickers = 360

m + d = 360

5d + d = 360

6d = 360

d = 360/6

d = 60

David has 60 stickers

m = 5d

m = 5(60)

m = 300

Matt has 300 stickers

The number of stickers Matt must give David so that they will each have 180 stickers = 300 - 180 = 120

Matt must give David 120 stickers so that they will each have 180 stickers

User AndrewF
by
5.9k points
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