Subjects algebra

Profit Difference

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1. **State the problem:** We need to find the difference in money earned between the most profitable and least profitable seller based on their weekly sales of Product A and Product B. 2. **Identify sales quantities:** - James sells 15 of Product A and 16 of Product B. - Sally sells 25 of Product A and 10 of Product B. - Andre sells 18 of Product A and 13 of Product B. 3. **Identify prices:** - Product A sells for 35.75 each. - Product B sells for 42.25 each. 4. **Calculate total earnings for each seller:** - James: $$15 \times 35.75 + 16 \times 42.25 = 536.25 + 676 = 1212.25$$ - Sally: $$25 \times 35.75 + 10 \times 42.25 = 893.75 + 422.5 = 1316.25$$ - Andre: $$18 \times 35.75 + 13 \times 42.25 = 643.5 + 549.25 = 1192.75$$ 5. **Find the most and least profitable sellers:** - Most profitable: Sally with 1316.25 - Least profitable: Andre with 1192.75 6. **Calculate the difference:** $$1316.25 - 1192.75 = 123.5$$ 7. **Answer:** The difference in money earned is 123.5. This matches the option $123.50.