Cargo Truck

Algebra Level 2

A small cargo truck has the capacity to carry only 1000 bricks or just 600 bags of cement. The truck is now filled with 400 bricks. How many bags of cement can this truck still carry?


The answer is 360.

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2 solutions

Making a simple operation with proportionality:

We have 400 bricks in the truck, then we have space for more 600 bricks.

1000 1000 Bricks = 600 600 Cement Bags

600 600 Bricks = x x Cement Bags

360000 360000 = 1000 x 1000x

x = 360 x=360

Then, we can fit more 360 cement bags in this truck.

1000 1000 b r i c k s = bricks = 600 600 b a g s bags c e m e n t cement

therefore,

1 1 b r i c k = brick = 0.6 0.6 b a g bag c e m e n t cement

since the truck is already filled with 400 400 bricks, it needs more 1000 400 = 600 1000 - 400 = 600 bricks

The equivalent of 600 600 bricks to bags of cement is

600 600 b r i c k s bricks ( 0.6 b a g 1 b r i c k ) = 360 (\frac{0.6 bag}{1 brick}) = 360 b a g s bags

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