ABLE Trucking Company has a job moving 21 tons of sand. The company has 8 drivers and 2 types of trucks. One type of truck can haul 5 tons of sand, and the other type can haul 3 tons.

Insurance requirements state that trucks hauling 5 tons of sand must have two drivers, while 3-ton trucks require only one driver.

Using all available drivers, how many trucks of each size are needed to move the sand in one trip?

Well you need three trucks that can pull 5 tons of sand each; that gives us 15 tons total taken care of so far, and 2 drivers left. The last two drivers drive two trucks that pull 3 tons of sand each; giving us a total of 21 tons and zero drivers left. Hope this helps!

Answered by icedraptor88 | 2024-06-10

The number of **trucks **which carry 5-tons are required 3 in number and the number of trucks which **carry **3-tons are required 2 in number.
What is an equation?
Mathematical **expressions **with two algebraic symbols on either side of the equal (=) sign are called equations.
This **relationship **is illustrated by the left and right expressions being equal to one another. The left -hand side **equals **the right -hand side is a basic, straightforward equation.
As per the information given in the question,
Let the number of 5-tons truck is x and the number of 3-tons truck is y.
Then, the **equations **as per the statement will be,
3x + 5y = 21 (i)
x + 2y = 8
x = 8 - 2y (ii)
Substitute equation (ii) in equation (i)
3(8 - 2y) + 5y = 21
24 - 6y + 5y = 21
24 - y = 21
y = 24 - 21
**y **= 3
Put y = 3 in equation (i)
3x + 5(3) = 21
3x = 21 - 15
x = 6/3
**x **= 2
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Answered by kuldeepjadhav | 2024-06-16

To move 21 tons of sand, ABLE Trucking Company needs 3 trucks that haul 5 tons each and 2 trucks that haul 3 tons each. This ensures that all 8 drivers are utilized according to the insurance requirements. The equations for weight and driver count were solved to arrive at this solution.
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Answered by kuldeepjadhav | 2024-10-15