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# help

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Jack has y chocolates and Jill has x chocolates.

If Jack gives 1 chocolate to Jill, then they will have an equal number of chocolates.

If Jill gives 1 chocolate to Jack, then Jack will have twice as many chocolates as Jill.

How many chocolates does Jill have?

Jul 4, 2020

#1
0

Jul 4, 2020
#2
+27644
+1

Jack - 1 = Jill +1      (given)    or   Jack = Jill +2     (sub into the next equation)

Jack +1 = 2 (Jill-1)       (given)

Jill +2    +1   = 2 Jill - 2

Jill = 5          Then    Jack =7

Jul 4, 2020
edited by ElectricPavlov  Jul 4, 2020
edited by ElectricPavlov  Jul 4, 2020
#3
+21955
+1

Jack has 2 more chocolates than Jill.

They can't have very many; so, start low:

If Jack has 3 and Jill has 1, then, when Jill has given one chocolate to Jack, Jack will have 4 and she won't have any, so Jack's number won't be twice as many as Jill.

Try 4 and 2, then 5 and 3, then 6 and 4, then 7 and 5 --

At 7 and 5, if Jack gives one to Jill, they both will have 6 and if Jill gives 1 to Jack, he'll have 8 and she'll have 4 (and Jack will have twice as many as Jill).

Jill has 5.

Jul 4, 2020