MongoDB how to check all occurrences of an array?

Question

MongoDB

I have a db with users like this:

{
"_id": 1,
"name": "Carlo",
"cars": [{
    "type": "sport",
    "score": 10
}, {
    "type": "hatchback",
    "score": 5
}, {
    "type": "family",
    "score": 4
}, {
    "type": "family",
    "score": 3
}]
}

I need to select users whose all machine types have a score greater than 5 and less than 8. I wrote the following code:

db.bsa.find({
  $and: [{  
    'cars.score': {
      $gt: 5
    }
  }, {
    'cars.score': {
      $lt: 8
    }
  }]
})

But such a query returns all users who have at least one machine with this account. How can I return only those for which all machines match the query?