Frank has three times as many dollars as Deandra, and Charlie has 20 more dollars than Frank. If Charlie has $65, how much money does Deandra have? Let f represent the amount of money Frank has in dollars, and let d represent the amount of money Deandra has in dollar
Mathematics · High School · Tue Nov 03 2020
Answered on
To find out how much money Deandra has, we can follow these steps:
1. We are told Charlie has $65, and this amount is $20 more than Frank has. We can set up an equation to find the amount Frank has (f). Charlie's amount = Frank's amount + $20 $65 = f + $20
2. To find f, we need to subtract $20 from $65. f = $65 - $20 f = $45 So, Frank has $45.
3. We know that Frank has three times as many dollars as Deandra. Let's write this as an equation: f = 3d Where f is Frank's amount ($45) and d is Deandra's amount.
4. Now that we know f = $45, we can find d. $45 = 3d To find d, we will divide both sides of the equation by 3. d = $45 / 3 d = $15
So, Deandra has $15.