The average wages of a worker during a fortnight comprising of 15 consecutive working days was $90 per day. During the first 7 days, his average wage was $87 per day and the average wage during the last 7 days was $92 per day. What was his wage on the 8th day?
Correct answer: D
Explanation
The total wage earned during the 15 days that the worker worked = 15 * 90 = $1350.
The total wage earned during the first 7 days = 7 * 87 = $609.
The total wage earned during the last 7 days = 7 * 92 = $644.
Total wage earned during the 15 days = wage during first 7 days + wage on 8th day + wage during the last 7 days.
Or 1350 = 609 + wage on 8th day + 644
Wage on 8th day = 1350 - 609 - 644 = $97.
Answer D
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.