What is the ratio of the total production of type E cars in 2014 and type C cars in 2016 taken together to the total production of type B cars in 2014 and type D cars in 2013 taken together?

From the given table,

Total production of the car type E in 2014=53

Total production of the car type C in 2016=77

Hence net production of the car type E and C in 2014 and 216 $$=53+77=130$$

Total production of the car type B in 2014=56

Total production of the car type D in 2013=35

Hence net production of the car type E and C in 2014 and 2013 $$=56+35=91$$

Hence, the required ratio $$=\dfrac{130}{91}=\dfrac{10}{7}$$