Question

Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away

initially and save $30 every month. The second option is to put $200 away initially and save $50 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
Plzzz hellpppp

Answer 1

After 5 months, she will save the same amount using either option.

She would have saved $450 with either option.

Explanation:

Set up expressions to represent the amount of money saved for each saving option, where x is the number of months

The first one can be represented by 30x + 300

The second one can be represented by 50x + 200

Set these equal to each other and solve for x:

30x + 300 = 50x + 200

300 = 20x + 200

100 = 20x

5 = x

So, after 5 months, Tina will save the same amount of money with both options.

To find how much she will save, plug in 5 as x into either expression:

30x + 300

30(5) + 300

150 + 300

= 450

So, she would have saved $450 with either option.