Question

Joshua is changing his cell phone service. One data package that he is interested in charges a set-up fee of $28 and $8 per month. The other data package has no set-up fee but charges $12 per month for the same plan. After how many months will both packages cost the same?

Answer 1

5 months

i added 8 to 28 till i got a # that 12 is divisible by

Answer 2

After 7 months will both packages cost the same.

Explanation:

Let the month after which both the packages will cost the same be x.

Cost of data package-1 for x months = $28+$8x

Cost of data package-2 for x months =$12x

Cost of data package-1 for x months = Cost of data package-2 for x months

`\$28+\$8x=\$12x`

`\$28=\$12x-\$8x`

`x=(28)/(4)=7`

After 7 months will both packages cost the same.