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schepotkina [342]
3 years ago
6

This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he cha

rged the new subscribers $3 less than the repeat customers. If x represents the amount Michael collects from each repeat customer, which equation models this problem?
Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

Answer:

Equation will be 40x + 18(x - 3) = 468

Step-by-step explanation:

If 'x' represents the amount Michael collects from each repeat customers then amount collected from 40 customers = 40x

If he charged $3 less than the repeat customers then amount charged from 18 customers = $18(x - 3)

Total amount he collected = $468

Therefore, the equation modeling the situation will be

Amount collected from repeated customers + Amount collected from new customers = Total amount collected

40x + 18(x - 3) = 468

loris [4]3 years ago
7 0
468=40x+18(x-3)
468=40x+18x-54
468=58x-54
522=58x
9=x
I'm not sure if you need to know x at all, if not, the top equation is all you need.
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For this case we have the following quadratic equation:

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3 years ago
Hey, guys help me answer!
Sliva [168]

Hello and Good Morning/Afternoon

<u>Let's take this problem step by step.</u>

        5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6

<u>What did we do in this problem</u>

  • we ensured that both sides remained equally balanced in value
  • took everything step-by-step to make sure that there were no mistakes
  • to check it, we can plug it back into the original equation to see if it works

                  5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\

<u>Answer: x = 6</u>

Hope that helps!

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