Petefamerynchrisaa
Answered

Becky has some marbles

Chris has two times as many marbles as Becky

Dan has seven more marbles than Chris

They have a total of 57 marbles

Dan says:

If I give some marbles to Becky, each of us will have the same number of marbles"

Is dan correct?

Verified Answer :

HomertheGenius

Becky - x marbles;
Chris - y marbles;
Dan - z marbles
y = 2 x
z = y + 7
x + y + z = 57
--------------------
z = 2 x + 7
x + 2 x + 2 x + 7 = 57
5 x + 7 = 57
5 x = 57 - 7
5 x = 50
x = 50 : 5
x = 10,  y = 20,  z = 27
Answer: Dan is not correct.

Chris - y marbles

Becky - x marbles

Dan - z marbles

y = 2 x

z = y + 7

x + y + z = 57

z = 2 x + 7

x + 2 x + 2 x + 7 = 57

5 x + 7 = 57

5 x = 57 - 7

5 x = 50

x = 50 : 5

x = 10,  y = 20,  z = 27

This means that Dan is not correct.

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