This math question i do not get it is Sanjay earns $13.00 each week from his papaer route.He earns $.15 for each daily paper and $.35 for each sunday papaer he delivers. He delivers twice as many daily papers as sunday papers. How many of each type does he deliver each week. What do they mean? Please help this is my Last question
D*.15 + S*.35=13.00
D=2S
find D, and S
20 sunday papers
40 daily papers
To solve this math problem, let's break it down step by step.
1. Let's assume that Sanjay delivers x number of Sunday papers each week.
2. According to the problem, Sanjay delivers twice as many daily papers as Sunday papers. So, the number of daily papers he delivers would be 2x.
3. The problem states that Sanjay earns $0.15 for each daily paper delivered and $0.35 for each Sunday paper delivered.
4. So, the total amount Sanjay earns from delivering daily papers would be 0.15 * (number of daily papers) = 0.15 * (2x) = 0.3x dollars.
5. Similarly, the total amount Sanjay earns from delivering Sunday papers would be 0.35 * (number of Sunday papers) = 0.35 * x = 0.35x dollars.
6. According to the problem, Sanjay earns $13.00 each week from his paper route. Therefore, the sum of the money earned from daily papers and Sunday papers should equal $13.00.
7. We can set up the equation to solve for x:
0.3x + 0.35x = 13
0.65x = 13
8. To isolate x, divide both sides of the equation by 0.65:
x = 13 / 0.65
x = 20
9. Now that we know x is 20, we can substitute it back to find the number of daily papers Sanjay delivers:
Number of daily papers = 2x = 2 * 20 = 40
Therefore, Sanjay delivers 40 daily papers and 20 Sunday papers each week.