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

Answer:

6 Trucks of 10tons and 2 Trucks of 5 tons

Step-by-step explanation:

contractor have all total of 8 Trucks

let there be x no. of trucks of 10 tons and y no. of trucks of 5 tons

$x + y = 8$

$10x + 5y = 70 \\ 5x + 5y = 40$

substrate both the equation and we get

$5x = 30 \\ x = 6$

no. of trucks of 10 tons = 6

substitute the value of x to get y

$5y = 70 - 60$

$y = 2$

so no. of trucks of 5 tons = 2