exam Maths Puzzle Numerical Ability

Rudy must play 12 commercials his 1-hr radio show Each commercial is either 30 sec or 60 sec long. If the total commercial time during that 1-hr is 10 min how many commercials of each type does Rudy play?

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Can you verify my answer please?

Multiply
√7(2√3+3√7)
I got 2√21+21 is this correct?

Thanks for your help!
Graph on a plane.
y > -1