Answer:
(**Note that there are two options for the answer and you can use the two answers that you prefer. I explained why there are two answers in my explanation below**)
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Imran's runs = 123; Remaining team's runs = 227
If you use the alternative answer:
Imran's runs = 122; Remaining team's runs = 228
Explanation:
Step 1: Determine the number of runs that Imran scored:
Since Imran scored 35% of the 350 total runs, we can determine the exact number by multiplying 0.35 by 350:
Imran's runs = 0.35 * 350
Imran's runs = 122.5
Imran's runs = 123
Because cricket requires whole numbers for scoring, we had to round up to 123, meaning Imran scored 123 runs.
Checking the validity of the answer:
When we divide 123 by 350 and multiply by 100, we get:
Percentage = (123/350) * 100
Percentage = 35.14285714
- 35.14285714 is only 0.14285714 units away 35, so we can trust our answer, despite it being an approximation.
Alternative answer for Imran's runs:
Alternatively, you could use 122 since:
(122/350) * 100 = 34.85714286, which is only 0.14285714 units away from 35.
Step 2: Determine how many runs the remaining team scores:
Since we now know that Imran scored 123 runs, we can determine how many runs the other team scores by subtract 123 from 350:
Remaining team runs = 350 - 123
Remaining team runs = 227
Thus, the remaining team scored 227 runs.
Checking the validity of the answer:
Since Imran's runs represents 35% of the 350 total runs and a percentage adds up to 100 (normally), we can check that 227 is about 65% of 350, meaning our answer is correct:
Percentage = (227/350) * 100
Percentage = 64.8571426
- 64.8571426 is only 0.8571426 units away from 65, meaning we can trust our answer, despite it being an approximation.
- Also, 35.14285714 (the percentage for Imran's 123 runs) + 64.8571426 = 100 exactly, further proving the validity of our answer.
Alternative answer for the remaining team's runs:
If you said that Imran scored 122 runs, this means that the other team scored 228 runs (350 - 122).
We can prove the validity of 228 as an answer since:
Percentage = (228/350) * 100
Percentage = 65.14385714
- Because 65.14385714 is only 0.14385714 units away from 65, we can trust that our answer is correct.