Question
At a car show, a salesman earned commissions totaling $1,500 over three days. On the second day, he earned half of what he earned on the first day, and on the third day, he earned one-third of what he earned on the second day. How much did he earn each day?
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Answer to a math question At a car show, a salesman earned commissions totaling $1,500 over three days. On the second day, he earned half of what he earned on the first day, and on the third day, he earned one-third of what he earned on the second day. How much did he earn each day?
Fred
4.4118 Answers
1. Determine the gains for each day as unknowns:
x \frac{x}{2} \frac{x}{6}
2. Set up the total equation:
x + \frac{x}{2} + \frac{x}{6} = 1500
3. Combine the terms into a single fraction:
\frac{6x + 3x + x}{6} = 1500
4. Simplify and solve for x
\frac{10x}{6} = 1500
10x = 9000
x = 900
5. Calculate the earnings for the second and third days:
\\ Segundo día: \frac{x}{2} = \frac{900}{2} = 450
\\ Tercer día: \frac{450}{3} = 150
So, the earnings each day are:
\\ Primer día:900
\\ Segundo día:450
\\ Tercer día:150
2. Set up the total equation:
3. Combine the terms into a single fraction:
4. Simplify and solve for
5. Calculate the earnings for the second and third days:
\\ Segundo día:
\\ Tercer día:
So, the earnings each day are:
\\ Primer día:
\\ Segundo día:
\\ Tercer día:
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