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Jason started with d dollars in his piggy bank. One week late, Jason doubled the amount in his piggy bank. Another week later, jason was able to add $20 to his piggy bank. At this point, the piggy bank had $50 in it. What is d?

Respuesta :

Given, Jason had an amount of $d in the piggy bank.

After one week, Jason doubled the amount in the piggy bank.

So, after one week the amount in the piggy bank = $[tex] (2)(d) [/tex] = $(2d)

Another week later, Jason added $20 in the piggy bank.

So after another week, the total amount in the piggy bank = $[tex] (2d+20) [/tex]

Given, that time the piggy bank had $50 in it.

So we can write the equation as,

[tex] 2d+20 = 50 [/tex]

To find the value of d, we will move 20 to the right side by subtracting it from both sides. We will get,

[tex] 2d+20-20 = 50 - 20 [/tex]

[tex] 2d = 50 -20 [/tex]

[tex] 2d = 30 [/tex]

Now to find d, we will move 2 to the right side by dividing it to both sides. We  will get,

[tex] \frac{2d}{2}=\frac{30}{2}[/tex]

[tex] d = 15 [/tex]

We have got the required answer.

The value of d = $15.

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