Question

a contractor has 8 trucks. some trucks carry a load of 10 tonnes and the other trucks carry a load of 5 tonnes. when all 8 trucks are filled, they contain a total of 70 tonnes. how many of each size of truck does the contractor own?

Answer 1

10 tonnes = 6 trucks, 5 tonnes = 2 trucks

Explanation:

Total number of trucks = 8

Let number of trucks carrying 10 tonnes = x

then number of trucks carrying 5 tonnes = 8 - x

We can represent this situation as follows:

10x + 5(8 - x) = 70 tonnes

10x + 40 - 5x = 70

5x + 40 = 70

5x = 30

x = 6

Number of trucks with 10 tonnes capacity = 6

Number of trucks with 5 tonnes capacity = 2 (i.e; 8-x = 8-6)

Hope it helps.......