Question

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?

Answer 1

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.