QuestionThe table shows masses of different types of nuts that Nathan buys. He plans to mix the nuts and then separate them into bags. Each bag will have 1.2 kg of nuts in it.
\begin{tabular}{|l|c|}
\hline Type of Nut & Mass (kg) \\
\hline Almonds & 3.64 \\
\hline Cashews & 2.79 \\
\hline Peanuts & 3.44 \\
\hline Pine Nuts & 2.73 \\
\hline
\end{tabular}
Write how many bags of mixed nuts Nathan can completely fill.
Studdy Solution
STEP 1
What is this asking? How many 1.2 kg bags can we completely fill with the total amount of nuts? Watch out! We need full bags, so any leftover nuts don't count towards a full bag!
STEP 2
1. Sum the masses
2. Divide by bag size
3. Find whole number of bags
STEP 3
Let's **add** all the masses of nuts together to find the **total mass**.
This is like putting all the nuts into one giant bowl before we bag them up!
It's important to understand *why* we're adding these numbers – we want to know the total amount of nuts Nathan has!
STEP 4
So, Nathan has a **total** of kg of nuts.
That's a lot of nuts!
STEP 5
Now, we'll **divide** the **total mass** of nuts by the mass of nuts per bag.
This will tell us how many bags we can *potentially* fill.
We're doing this because each bag holds a certain amount, and we want to see how many times that amount fits into our total.
STEP 6
We get .
This tells us we can fill 10 and a half bags.
STEP 7
Since we can only completely fill full bags, we need to take the **whole number** part of our answer.
We can't sell half a bag of nuts, right?
STEP 8
The whole number part of is **10**.
STEP 9
Nathan can completely fill **10** bags of mixed nuts.
Was this helpful?
