Math

QuestionCeline is 28, and her age is 4 more than 13\frac{1}{3} of Drake's age. Find Drake's age using the correct equation.

Studdy Solution

STEP 1

Assumptions1. Let dd represent Drake's age. . Celine's age is4 years greater than 13\frac{1}{3} of Drake's age.
3. Celine is28 years old.

STEP 2

We need to create a linear equation to represent the relationship between Celine's age and Drake's age. According to the problem, Celine's age is4 years greater than 1\frac{1}{} of Drake's age. This can be represented asCelinesage=1d+4Celine's\, age = \frac{1}{}d +4

STEP 3

Now, we know that Celine is28 years old. We can substitute this value into the equation to solve for Drake's age.
28=13d+28 = \frac{1}{3}d +

STEP 4

To solve for dd, we first need to isolate dd on one side of the equation. We can do this by subtracting4 from both sides of the equation.
284=13d28 -4 = \frac{1}{3}d

STEP 5

Calculate the left side of the equation.
24=13d24 = \frac{1}{3}d

STEP 6

Now, to solve for dd, we need to get rid of the fraction 13\frac{1}{3}. We can do this by multiplying both sides of the equation by3.
24×3=d24 \times3 = d

STEP 7

Calculate the value of dd.
72=d72 = dDrake is72 years old.

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