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2. (8 points)John and Clay started a dog-walking business in their neighborhoods to earn money to go on a trip at the end of the summer. John earns $10 per walk for each dog. Clay earns $12 per walk for each dog in his neighborhood. John and Clay walked the same number of dogs by the end of the month. Each of their parents also gave the boys an extra $50 to help them with their trip.
(a) Write 2 expressions that could be used to determine the total amount of money the boys earned by the end of the month.
(b) What does the variable represent in each expression?
(c) John and Clay walked 20 dogs each by the end of the month. Use your expressions to calculate how much each boy earned that month and show your work.
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(a) and (b): John earns 10x+50 dollars, and Clay earns 12x+50 dollars. In both cases, the variable, x, represents the number of dogs walked.
(c): Your answer is correct, if you aren't including the $50 their parents give them in the count. If you are expected to add in the $50, then you get a result of $250 and $290.
(d): They each get $50 more for their trip, so they have $200+$50+$240+$50=$540, which is $60 short of the cost of the trip. If they both walk one more dog, they add $10+$12=$22 to the sum, so if they each walk three dogs more, they'll earn $66, which leads to a total of $606. This is just enough for the trip!
i need john and clay
A. 12 x 20 + 25 = $265, 10 x 20 + 25 = $225
b. clay earns $2 more than john.
d. no they need to walk about eleven more dogs.