Hi!
You have to assume that they all drink tea once per day
5 weeks =35 days
5 packets = 35(x+1) spoons
6 packets = 35(x+2) spoons
5p=35(x+1) so p=7x+7
6(7x+7)=35(x+2)
x=28/7=4
So 4 people were at the home before the grandmother arrived
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ty for the help , English is not my first langue’s so i had a bit of a hard time to understand the logical math behind it and how to infer it 
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“35(x+1)”
what does the X represent and what does the 1/2 represent ?
x is the number of people originally in the home
each time we make tea we add x spoons (one for each person) + 1 for the cup
Once the grandmother arrived we have to add x + 1 for the cup + 1 for the grandmother = x+2
What do you mean by 1/2?
thank you i got it now completely 1/2 means X+1 AND X+2
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