If 1 bus = 12 cars, 3 cars = 1 truck, and 1000 basketballs = 1 truck, how many basketballs can be carried by 8 buses?
Answer (3)
1 bus = 12 cars 1 truck = 3 cars 4 trucks= 12 cars 1 bus = 4 trucks 1 bus = 4000 basketballs 8 buses= 32,000 basketballs
The factor label method (dimensional analysis) is a method used to solve problems by the given amount and value. Eight buses can carry 32,000 basketballs.
What is dimensional analysis?
Dimensional analysis has been also called the unit factor method used to convert the various units and quantities by mathematical computation and equation formation. It can convert the fundamental and derived units.
Given,
1 bus = 12 cars
3 cars = 1 truck
1 truck = 1000 basketballs
If 3 cars have been equal to 1 truck then, 12 cars will be equal to X trucks
Solving for X as:
X = (12 cars × 1 truck) ÷ 3 cars
= 4 trucks
Hence, 4 trucks are equal to 12 cars.
Now, from above it can be said that 1 bus has been equal to 4 trucks .
So, if one bus = 4000 basketballs
8 bus = X basketballs
Solving for X:
X = 4000 × 8
= 32000 basketballs
Therefore, eight buses can contain 32000 basketballs.
Learn more about** dimensional analysis**, here:
https://brainly.com/question/28303026
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Eight buses can carry a total of 32,000 basketballs by converting the quantities from buses to cars, then to trucks, and finally to basketballs. Starting from 8 buses, we determine that they equate to 96 cars, which convert into 32 trucks, and ultimately equal 32,000 basketballs. Through this dimensional analysis, we arrive at the final answer.
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