how to solve question 35 in the image? ---Here is the extracted content from the image:
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**Question 35**
**Question Stem:**
Adam sat three spelling tests and got 80% of all words correct.
Here are his results:
How many words did Adam get correct in Test 3?
**Chart/Diagram Description:**
* **Type:** Information blocks/results summary.
* **Main Elements:**
* Three rectangular blocks are presented side-by-side, labeled "Test 1", "Test 2", and "Test 3".
* Inside "Test 1" block: The fraction "24/30" is displayed, indicating 24 words correct out of 30 total.
* Inside "Test 2" block: The fraction "27/30" is displayed, indicating 27 words correct out of 30 total.
* Inside "Test 3" block: A dark gray square containing a white question mark symbol is shown above the number "30", indicating an unknown number of correct words out of 30 total for this test.
**Options:**
* (A) 19
* (B) 21
* (C) 24
* (D) 29
**Other Relevant Text/Annotations:**
* Handwritten numbers and calculations around the options and diagram: "51/90", "51/90", "78", "63". There are also several cross-out marks on options (C) and (D).
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**Question 36**
**Question Stem:**
One morning Luisa, Noor and Manling counted their pencils. They found that Luisa had three times the number of pencils that Manling had and Noor had twice the number that Manling had.
By the end of the day, Noor had lost four pencils, and had 34 pencils left.
How many pencils did Luisa have on that morning?
**Options:**
* (A) 45
* (B) 57
* (C) 68
* (D) 76
**Other Relevant Text/Annotations:**
* Handwritten mathematical calculation: "4 + 34 = 38".
* Option (A) is circled. Options (B) and (C) are crossed out.
* There are additional handwritten scratch marks on the page, possibly from previous calculations or attempts.
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Adam sat three spelling tests and got 80% of all words correct. Here are his results: Test 1 shows 24 out of 30 words correct, Test 2 shows 27 out of 30 words correct, and Test 3 has an unknown number of correct words out of 30. The key information is that Adam got 80% of ALL words correct across the three tests combined. We need to find how many words Adam got correct in Test 3.
Let's calculate the total number of words. Each test has 30 words, so the total is 30 plus 30 plus 30 equals 90 words. Since Adam got 80% of all words correct, we calculate 80% of 90 words. This gives us 0.80 times 90 equals 72 words correct in total across all three tests.
Now let's calculate the known correct words from Tests 1 and 2. Test 1 has 24 correct words and Test 2 has 27 correct words. Adding these together: 24 plus 27 equals 51 words. This visual bar shows that 51 out of the total 72 correct words are accounted for, leaving a gap for Test 3. We need to find how many words Adam got correct in Test 3.
Now we can solve for Test 3 using subtraction. We set up the equation: Total correct words minus Known correct words equals Test 3 correct words. Substituting our numbers: 72 minus 51 equals 21 words. Let's verify this answer by checking if it gives us 80% overall. Adding all correct words: 24 plus 27 plus 21 equals 72. Dividing by the total 90 words gives us 72 over 90, which equals 0.80 or 80%. This confirms our answer. Therefore, Adam got 21 words correct in Test 3, which is option B.
Let's do a final verification of our answer. We now have all three test results: Test 1 shows 24 out of 30 words correct, Test 2 shows 27 out of 30 words correct, and Test 3 shows 21 out of 30 words correct. To verify, we calculate the overall percentage: 24 plus 27 plus 21 equals 72 correct words out of a total of 90 words. This gives us 72 divided by 90, which equals 0.80 or exactly 80 percent. This matches the given condition perfectly. Therefore, our final answer is confirmed: Adam got 21 words correct in Test 3, which corresponds to option B.