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

Studdy Solution

STEP 1

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

STEP 2

We need to create an equation that represents the situation. According to the problem, Celine's age is4 years greater than $\frac{1}{}$ of Drake's age. This can be represented as $Celine's\, age = \frac{1}{}d +4$

STEP 3

We know that Celine is28 years old. So, we can substitute this value into the equation $28 = \frac{1}{3}d +$ So, the equation that represents this situation is $\frac{1}{3}d + =28$ .

STEP 4

Now, we need to solve this equation to find the value of $d$ , which represents Drake's age. First, we can subtract4 from both sides of the equation to isolate the term with $d$ $28 -4 = \frac{1}{3}d +4 -4$

STEP 5

implify the equation $24 = \frac{1}{3}d$

STEP 6

To solve for $d$ , we can multiply both sides of the equation by3 $24 \times3 = \frac{1}{3}d \times3$

STEP 7

implify the equation $72 = d$ So, Drake is72 years old.

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

Studdy Solution

STEP 1

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

STEP 2

We need to create an equation that represents the situation. According to the problem, Celine's age is4 years greater than $\frac{1}{}$ of Drake's age. This can be represented as $Celine's\, age = \frac{1}{}d +4$

STEP 3

We know that Celine is28 years old. So, we can substitute this value into the equation $28 = \frac{1}{3}d +$ So, the equation that represents this situation is $\frac{1}{3}d + =28$ .

STEP 4

Now, we need to solve this equation to find the value of $d$ , which represents Drake's age. First, we can subtract4 from both sides of the equation to isolate the term with $d$ $28 -4 = \frac{1}{3}d +4 -4$

STEP 5

implify the equation $24 = \frac{1}{3}d$

STEP 6

To solve for $d$ , we can multiply both sides of the equation by3 $24 \times3 = \frac{1}{3}d \times3$

STEP 7

implify the equation $72 = d$ So, Drake is72 years old.

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QuestionCeline is 28, and her age is 4 more than 13\frac{1}{3}31​ of Drake's age. Find Drake's age using the correct equation.

Studdy Solution

STEP 1

Assumptions1. Let ddd represent Drake's age. . Celine's age is4 years greater than 13\frac{1}{3}31​ of Drake's age.3. Celine is28 years old.

STEP 2

We need to create an equation that represents the situation. According to the problem, Celine's age is4 years greater than 1\frac{1}{}1​ of Drake's age. This can be represented asCeline′s age=1d+4Celine's\, age = \frac{1}{}d +4Celine′sage=1​d+4

STEP 3

We know that Celine is28 years old. So, we can substitute this value into the equation28=13d+28 = \frac{1}{3}d +28=31​d+So, the equation that represents this situation is 13d+=28\frac{1}{3}d + =2831​d+=28.

STEP 4

Now, we need to solve this equation to find the value of ddd, which represents Drake's age. First, we can subtract4 from both sides of the equation to isolate the term with ddd28−4=13d+4−428 -4 = \frac{1}{3}d +4 -428−4=31​d+4−4

STEP 5

implify the equation24=13d24 = \frac{1}{3}d24=31​d

STEP 6

To solve for ddd, we can multiply both sides of the equation by324×3=13d×324 \times3 = \frac{1}{3}d \times324×3=31​d×3

STEP 7

implify the equation72=d72 = d72=dSo, Drake is72 years old.

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

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

We need to create an equation that represents the situation. According to the problem, Celine's age is4 years greater than $\frac{1}{}$ of Drake's age. This can be represented as $Celine's\, age = \frac{1}{}d +4$

We know that Celine is28 years old. So, we can substitute this value into the equation $28 = \frac{1}{3}d +$ So, the equation that represents this situation is $\frac{1}{3}d + =28$ .

Now, we need to solve this equation to find the value of $d$ , which represents Drake's age. First, we can subtract4 from both sides of the equation to isolate the term with $d$ $28 -4 = \frac{1}{3}d +4 -4$

implify the equation $24 = \frac{1}{3}d$

To solve for $d$ , we can multiply both sides of the equation by3 $24 \times3 = \frac{1}{3}d \times3$

implify the equation $72 = d$ So, Drake is72 years old.