eric has a dog walking business. He charges $13per dog he walks and $6 for the water he buys for the dogs. If he made $97 on Monday, write an equation to find the number of dogs he walked on Monday.
I got an answer of 7 dogs on Monday.
Then, in addition to dog walking, on Tuesday Eric made $45 dog sitting at one of his customers homes. IF he made $168 on Tuesday, write an equation to find the number of dogs he walked that day.
How do I incorporate my 7 dogs from monday with the total for tuesday.
2*5+3*5=
Monday: let D = # of dogs,then:
13D + 6 = 97
D = (97 - 6)/13 = 91/13 = 7
Tuesday:
13D + 6 + 45 = 168
D = (168 - 6 - 45)/13 = 117/13 = 9
Since there is no relationship between the number dogs Eric walked on Monday and Tuesday, you can not incorporate the 7 dogs on Monday. The only relationship is the charges per dog walked and the charge for water.
Well, it's great that Eric got to expand his services and try dog sitting on Tuesday! However, when it comes to the equation, we need to keep the information separate for each day. Let's start by setting up an equation for Tuesday to find the number of dogs Eric walked that day.
Let's say the number of dogs Eric walked on Tuesday is "x". The equation for Tuesday's dog walking income would be:
$13x + $6 = $168
In this equation, "$13x" represents the earnings from walking "x" number of dogs, and "$6" represents the additional $6 Eric spent on water. The equation then states that the total income for Tuesday, which is $168, is obtained by adding the income from dog walking and the water expenses.
Now, as for incorporating the dogs from Monday, since the days are separate, the information from Monday doesn't directly affect the equation for Tuesday. However, you can still keep track of the two days separately.
So, keeping Monday and Tuesday separate:
Monday: Number of dogs walked = 7 (as you correctly found)
Tuesday: Number of dogs walked = x (to be determined)
I hope this clears things up! Let me know if you have any more questions or need further assistance!
Let's denote the number of dogs Eric walked on Monday as x. From the given information, we know that he charges $13 per dog and made $97. Additionally, he charges $6 for the water for the dogs.
Therefore, the equation for Monday would be:
13x + 6 = 97
To incorporate the number of dogs from Monday with the total for Tuesday, we need to add the number of dogs Eric walked on Tuesday to the number of dogs from Monday. Let's denote the number of dogs Eric walked on Tuesday as y. From the given information, we know that he charges $13 per dog and made $168.
Therefore, the equation for Tuesday would be:
13y + 6 = 168
To find the total number of dogs Eric walked on Tuesday, we need to add the number of dogs from Monday to the number of dogs on Tuesday:
Total Dogs = x + y
So the full equation to find the number of dogs Eric walked on Tuesday while incorporating the 7 dogs from Monday would be:
Total Dogs = 7 + y
or
7 + y = x + y
To find the number of dogs Eric walked on Monday, you can use the equation:
Total earnings = (number of dogs Eric walked on Monday * charge per dog) + cost of water
In this case, if Eric made $97 on Monday, charged $13 per dog, and spent $6 on water, we can set up the equation as:
97 = (number of dogs * 13) + 6
To solve for the number of dogs, we can rearrange the equation:
(number of dogs * 13) = 97 - 6
number of dogs = (97 - 6)/13
number of dogs = 7
So, you correctly calculated that Eric walked 7 dogs on Monday.
Now, to incorporate the 7 dogs from Monday with the total for Tuesday, we can set up a new equation. Since Eric made $168 on Tuesday from both dog walking and dog sitting, we can write the equation as:
Total earnings on Tuesday = (number of dogs Eric walked on Tuesday * charge per dog) + earnings from dog sitting
Substituting the given values:
168 = (number of dogs * 13) + 45
To solve for the number of dogs Eric walked on Tuesday, we can rearrange the equation:
(number of dogs * 13) = 168 - 45
number of dogs = (168 - 45)/13
number of dogs ≈ 10.69
Since the number of dogs must be a whole number, we typically round down in this case. So, Eric estimatedly walked around 10 dogs on Tuesday.
To incorporate your 7 dogs from Monday with the total for Tuesday, you would add the number of dogs together:
Total number of dogs = 7 + 10
Total number of dogs ≈ 17
Therefore, Eric walked approximately 17 dogs in total between Monday and Tuesday.