SOLUTION: Kyle sells cars. He gains 14$/ hour and a commission of 8 percent on sales. How much does he have to sell to gain 1200$ in a 38 hour week? Need help with this word problem pleas

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Question 1096296: Kyle sells cars. He gains 14$/ hour and a commission of 8 percent on sales. How much does he have to sell to gain 1200$ in a 38 hour week?
Need help with this word problem please and please send an equation instead of just a solution so I can understand! Thanks!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Kyle works for 38 hours in a single week. He earns $14 and hour. So far he has earned 14*38 = 532 dollars.

Add on the expression 0.08*x where the 0.08 represents the decimal form of 8% and x is the amount in sales.

So we now have 532+0.08*x which is the same as 0.08*x+532 since we can add in any order.

The expression 0.08*x+532 represents the total amount of money Kyle earns (base hourly pay plus commission bonus). We want the total amount he earns to be $1200. So we set 0.08*x+532 equal to 1200

The equation is therefore: 0.08*x+532=1200 which is effectively the same as 0.08x+532=1200

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Let's solve that equation for x

0.08*x+532=1200

0.08*x+532-532=1200-532 subtract 532 from both sides

0.08*x = 668

0.08*x/0.08 = 668/0.08 divide both sides by 0.08

x = 8350

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Final Answer: Kyle must make 8350 dollars in sales to earn $1200 in a 38 hour week.