QuestionA machine produces 40 widgets 5 hours. How many widgets produce in 8 hours at the same
Studdy Solution
STEP 1
What is this asking?
If a machine makes 40 widgets in 5 hours, how many widgets can it make in 8 hours if it keeps working at the same speed?
Watch out!
Don't just multiply 40 by 8!
We need to figure out how many widgets the machine makes *per hour* first.
STEP 2
1. Calculate widgets per hour
2. Calculate total widgets
STEP 3
Alright, let's **break this down**!
We know the machine makes 40 widgets in 5 hours.
We want to find out how many widgets it makes in *one* hour.
This is our **widgets per hour** rate.
STEP 4
To get the **widgets per hour** rate, we can **divide** the **total number of widgets** made by the **total time** it took to make them.
We're essentially figuring out how many widgets the machine makes for every one hour of work.
Think of it like this: we're dividing by 5 hours to get 1 hour, and we're dividing 40 widgets by 5 to keep the rate the same.
STEP 5
So, our calculation is: .
Awesome! This means the machine makes **8 widgets every hour**.
STEP 6
Now that we know the machine makes **8 widgets per hour**, we can figure out how many widgets it makes in 8 hours.
STEP 7
To do this, we'll **multiply** our **widgets per hour** rate by the **total time** of 8 hours.
This makes perfect sense, right?
If it makes 8 widgets in one hour, it'll make 8 times that amount in 8 hours.
STEP 8
Let's **calculate**: .
We multiplied by hours and divided by hours, so we're left with widgets.
STEP 9
The machine will produce **64 widgets** in 8 hours.
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