Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 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?

First option:

y=money saved

x=number of months

y=30x+500

Second option:

y=50x+200

We have this system of equations:

y=30x+500

y=50x+200

We can solve this system of equations by equalization method

30x+500=50x+200

30x-50x=200-500

-20x=-300

x=-300/-20

x=15

so;

y=30x+500

y=30 (15) + 500

y=450+500

y=950

Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.