ScoreLift · Worked examples
Watch how to work through a harder question
Follow three short examples, then try a fresh question that uses the same skill.
Math
Model two quantities with one comparison
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Build a comparison. A theater sells twenty-six tickets. Student tickets cost seven dollars, adult tickets cost twelve, and sales total two hundred thirty-seven dollars. How many adult tickets were sold?
Price every ticket as a student ticket. Imagine every ticket was a student ticket. That would bring in one hundred eighty-two dollars. The actual sales are fifty-five dollars higher.
Divide by the price difference. Each adult ticket explains five dollars of the difference. Divide fifty-five by five to get eleven adult tickets. Check it with fifteen student tickets.
Try this skill →Math
Find the group before calculating the probability
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Underline the condition. Forty cyclists were counted. Eighteen wear a helmet, and seven of those helmet wearers use a rear light. What is the chance a randomly chosen helmet wearer uses a rear light?
Shrink the sample space. Helmet wearer tells you where the random choice happens. The denominator is eighteen, because cyclists without a helmet are outside the group.
Count the overlap. Seven cyclists meet both conditions. Divide seven by eighteen. Seven over forty answers a different question about the whole group.
Try this skill →Reading
Make an inference you can prove
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Read what the person does. In this short example, Nia moves the reading circle away from the open window. Start with the action the passage actually gives you.
Find the second clue. The passage also says she waits for a truck to pass before starting the story. Look for a reason that explains both details.
Choose the supported reason. The two clues support a simple inference. Nia wants the group to hear. We would need more evidence to say she dislikes the street or wants to close the window.
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