Not sure how far it is between airports but here's an example of fares from Tenerife North airport:- To give you some ideas of local fares: La Laguna, €7.48 (fare 1), €8.13 (fare 2); Santa Cruz €14.40 (fare 1), €15.65 (fare 2); Puerto de la Cruz, €25-30 (fare 1), €35 (fare 2); Tenerife Sur Airport, €68.16 (fare 1), €74.08 (fare 2). Going by the price down to Tenerife South, I'de guess it would be a similar distance from Las Palmas down to P Mogan. So about 70 euros and a 45min-50min cab ride !!!!! Source:- Spanish airport guides !
P.S. Fare1 is daytime, fare2 after 10p.m !!