Easy math finance question! Please help
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Easy math finance question! Please help

[From: ] [author: ] [Date: 11-05-16] [Hit: ]
Could you please show all the steps to get to this answer? Thank you so much!b + 11500r = 1440 ...b + 17900r = 1824 .......
I am having some troubles finding the solution to this math finance question. Could someone please show me all the steps to get the the correct answer? Thank you!

Question:
Raud earns a base salary plus commission. At the end of his first month, he was paid $1440 based on monthly sales of $11 500. At the end of his second month, he made $17 900 in sales and was paid $1824. Determine his base salary and his commission.

The correct answer is: base salary- $750; commission rate- 6%. Could you please show all the steps to get to this answer? Thank you so much!

-
Let base salary be b
and commission rate be r (in fraction)
Look at first month: total payment = base salary plus commission which is sales times rate
b + 11500r = 1440 ... (1)
Look at second month: again the same procedure
b + 17900r = 1824 ... (2)
Solve (1) and (2) by subtracting, and get: r = 0.06 (which means 6%)
and so substituting in (1) above: b = 750
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