AL Maths Venn Diagram Stats Question

https://www.quora.com/profile/Bravewarrior/p-159986922
Here is the question with its solution. I am stuck on part a. When filling out the venn diagram, I got to 0.1 and 0.3, but do not understand how to get to 0.2 and 0.4. Would really appreciate some help!

Bit of a fiddly one, but you have 3 regions to calculate and you know 3 things
P(M), P(E) and the sum of probabilities is 1. Using those you should be able to get the three unknown regions 0, 0.2, 0.4.

I am still a bit stuck 😥.

Give the 3 unknown regions letters and write down the 3 simultaneous equations. Upload what youve tried if youre still stuck

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This is where I got to, really which is not far at all 😭
I then tried to come up with equations but kept on getting two unknowns which wasn't helpful.

As its members of a book reading club who read either ... the probability of someone lying outside the three rings is 0. So you have 3 equations in 3 variables x,y,z and while it should be fairly straightforward to solve for them, its worth writing the equations out clearly so you dont miss the sum to 1, for instance.