Question
Phillip earned \( \$ 12, \$ 25, \$ 15 \), \( \$ 18 \), and \( \$ 20 \) for each of five dogs he walked. Phillip wants to earn a mean of \( \$ 20 \) per dog. How much must he charge the next time he walks a dog?
Ask by Boone Stanley. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Phillip must charge \$30 for the next dog to achieve an average of \$20 per dog.
Solution
Phillip earned \(\$12\), \(\$25\), \(\$15\), \(\$18\), and \(\$20\) for five dogs.
1. Calculate the total earnings for the five dogs:
\[
12 + 25 + 15 + 18 + 20 = 90
\]
2. He wants a mean of \(\$20\) per dog. For six dogs, the total earnings should be:
\[
6 \times 20 = 120
\]
3. Let \( x \) be the amount he must charge for the sixth dog. Then:
\[
90 + x = 120
\]
4. Solve for \( x \):
\[
x = 120 - 90 = 30
\]
Phillip must charge \(\$30\) for the next dog.
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Simplify this solution Bonus Knowledge
To find out how much Phillip needs to charge for the next dog to achieve a mean of $20 per dog, first calculate his total earnings from the first five dogs: \[ 12 + 25 + 15 + 18 + 20 = 90. \] He walked 5 dogs, so to find the total amount he needs to earn for 6 dogs to achieve an average of $20: \[ 20 \times 6 = 120. \] Now, subtract the total he has already earned: \[ 120 - 90 = 30. \] So, Phillip must charge **$30** the next time he walks a dog to reach his goal of a mean of $20 per dog.
