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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Ratio
- Are in the ratio of $$2:3
This means we need to find two numbers that: - Sum to 750
Step 3:: Calculate the Total Parts
2 + 3 = 5$$ total parts
First, find the total number of parts in the ratio:
Step 4:: Calculate the Value of Each Part
\frac{750}{5} = 150$$ per part
Divide the total amount (750) by the total number of parts:
Step 5:: Calculate Each Portion
- First portion (2 parts): $$2 \times 150 = 300
- Second portion (3 parts): 3 \times 150 = 450
Step 6:: Verify the Solution
And confirm the ratio: $$\frac{300}{450} = \frac{2}{3} \checkmark
Check that the portions add up to 750:
Final Answer
- First portion: 300 - Second portion: 450
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