Answer:
The load the large truck can carry is 2400 pounds
Step-by-step explanation:
Let the load the large truck can carry = X
Let the load each of the four trucks owned by the neighbor can carry = Y
The given parameters are;
The load the large truck can carry X = 600 + Y......(1)
The number trucks owned by the neighbor = 4
The load the large truck can carry X ≤ 1/3 × 4 × Y
Therefore, X ≤ 4/3 × Y
At maximum capacity, we have;
X = 4/3 × Y
Substituting the value of X into equation (1), we have;
4/3 × Y = 600 + Y
600 = 4/3 × Y - Y = 1/3·Y
Y = 3 × 300 = 1800 pounds
Y = = 1800 pounds
Therefore, the load the neighbors truck can carry = 1800 pounds
X = 600 + Y gives;
X = 600 + 1800 = 2400 pounds
∴ The load the large truck can carry = 2400 pounds
