Question

Jay is saving two-thirds of his savings account for his college education. If he has set aside $2500 from his savings for his college education, how much money, in total, is in his savings account? Write an equation to model and solve the problem. Explain the answer in terms of the problem

Answer 1

`(2)/(3)x = \$ 2500`

$3750

Explanation:

Given that:

Jay saves
`(2)/(3)^(rd)` of the savings account for his college education.

Money set aside for the college education = $2500

To find:

Total money present in the savings account of Jay = ?

Solution:

Let the total money in the savings account be $
`x`.

As per question statement:

`(2)/(3)x = \$ 2500`

The equation to model the problem is:

`(2)/(3)x = \$ 2500`

Now, let us solve the above equation:

`\Rightarrow 2x =3* 2500\\\Rightarrow x = (7500)/(2)\\\Rightarrow x = \bold{\$ 3750}`

Total money saved in the savings account is $3750.

Out of the total money $2500 is saved for college education.