Daniel and Ethan raise money for a charity one week. Daniel donates $125.25 of the amount he raises. Ethan raises $20 less and decides to donate only 25th of the money this week. Together they donate $187.51 this week.
How much money did Daniel raise?
Ethan donates 1/25 of which money?
His earnings, the total earned, the total donated, or what?
3/10
To find the amount of money Daniel raised, we'll use a system of equations.
Let's assume the amount of money Ethan raised is 'x'. According to the information given, Daniel raised $20 more than Ethan, so we can say Daniel raised 'x + 20'.
Now, we know that Daniel donated $125.25, which means the remaining amount he raised is 'x + 20 - 125.25'.
Similarly, Ethan decides to donate only 25th of the money he raised, so the amount he donates is 'x/25'.
Together, Daniel and Ethan donated $187.51, so we can create an equation:
(x + 20 - 125.25) + (x/25) = 187.51
To solve this equation, we can simplify and solve for 'x':
(25x + 500 - 3126.25 + x) / 25 = 187.51
26x + 500 - 3126.25 = 4687.75
26x - 2626.25 = 4687.75
26x = 7314
x = 281.31
Therefore, Ethan raised $281.31.
Now, to find the amount Daniel raised, we can substitute this value back into the equation:
Daniel's amount = Ethan's amount + 20
Daniel's amount = 281.31 + 20
Daniel's amount = 301.31
Therefore, Daniel raised $301.31.