3 divided by 7 as a fraction of delia is 48, use variable d to represent delia's age
I assume you mean that
3/7 of Delia's age is 48.
That can be written as the equation
(3/7)d = 38
which has as a solution
d = (7/3)*48 = ___
She's a rather old lady.
please write an equation and solve 30 tons of rock at $60 a ton and $84 a tree not to exceed $2500
Let's solve the problem step-by-step.
Step 1: Set up the equation.
According to the problem, 3 divided by 7 as a fraction of Delia's age is 48. We can represent Delia's age as variable "d". So, we have the equation:
3/d = 48/1
Step 2: Cross-multiply.
To eliminate the fractions, we cross-multiply:
3 * 1 = 48 * d
Simplifying this equation, we have:
3 = 48d
Step 3: Solve for "d".
Divide both sides of the equation by 48 to isolate the variable "d":
3/48 = d
Step 4: Simplify the fraction.
The fraction 3/48 can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 3.
3 ÷ 3 / 48 ÷ 3 = 1/16
Therefore, variable "d" representing Delia's age is 1/16.
To solve this problem, let's use algebra to represent the given information and find the value of the variable.
First, let's break down the given statement: "3 divided by 7 as a fraction of Delia is 48." This means that if we express the fraction as a division, it equals 48. So we can write the equation as:
3/7 = 48
To solve for d, which represents Delia's age, we need to isolate the variable on one side of the equation. Here's how we do it:
1. Start by multiplying both sides of the equation by 7 to eliminate the denominator:
7 * (3/7) = 7 * 48
The 7 on the left side cancels out with the 7 in the denominator, leaving us with:
3 = 7 * 48
2. Now, we need to isolate the variable d. To do that, divide both sides of the equation by 7:
3/7 = (7 * 48)/7
On the right side, the 7 in the numerator cancels out the 7 in the denominator, leaving us with:
3/7 = 48
3. Finally, we can rewrite the equation in terms of the variable d:
d = 48
So, the value of the variable d, which represents Delia's age, is 48.
Note: It's important to note that the original given information about the fraction (3 divided by 7 as a fraction of Delia is 48) is actually not relevant to finding Delia's age in this case. The equation simplifies to d = 48, which means Delia's age is directly equal to 48.