B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
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Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.
The answer is 30,000
20,100 / 0.67 = 30,000
318.50 divided by 100% and x30 = 95.55$ it's discount
318.50-95.55=222.95$ is their total bill after discount
She forgot to distribute the 2 fully.
ie. After the 3 to the 9x.
It should have been,
2(3 + 9x) - 2x
6 + 18x - 2x
6 + 16x
