A bridge can hold a maximum of 75,000 pounds. A truck that weighs 40,000 pounds carries boxes that weigh 40 pounds each. What is the maximum number of boxes the truck can carry to cross the bridge? Express your answer as an inequality.(1 point)
b≤__
To find the maximum number of boxes the truck can carry, we need to find the maximum weight that the truck can carry without exceeding the bridge's weight limit.
The truck weighs 40,000 pounds, and each box weighs 40 pounds.
Let b represent the number of boxes the truck can carry.
The weight of the truck plus the weight of the boxes can be represented by the equation:
40,000 + 40b ≤ 75,000
To find the maximum number of boxes, we need to solve for b:
40b ≤ 75,000 - 40,000
40b ≤ 35,000
b ≤ 35,000/40
b ≤ 875
Therefore, the maximum number of boxes the truck can carry to cross the bridge is b ≤ 875.