A box contains red and black marbles in the ratio 3: 5. If there are 40 more black marbles than red, how many marbles are there in total?
A box contains red and black marbles in the ratio 3: 5. If there are 40 more black marbles than red, how many marbles are there in total?
एक डिब्बे में लाल और काले कंचे 3:5 के अनुपात में हैं। यदि काले कंचों की संख्या लाल कंचों से 40 अधिक है, तो कुल कितने कंचे हैं?
Detailed Solution & Logic
Correct Answer:
160
Let the number of red marbles = $3x$ and black marbles = $5x$ (since the ratio is 3:5).
We are given that there are 40 more black marbles than red:
$5x - 3x = 40$
$2x = 40$
$x = 20$
Number of red marbles = $3x = 60$
Number of black marbles = $5x = 100$
Total marbles = 60 + 100 = 160
✅ Answer: 160 marbles
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