Will reward salma will rent a car for the weekend. she can choose one of two plans. the first plan has an initial fee of $61.98 and costs an additional $0.08 per mile driven. the second plan has an initial fee of $53.98 and costs an additional $0.13 per mile driven. how many miles would salma need to drive for the two plans to cost the same?

160 miles

Explanation:

x = number of miles driven, y = cost

First plan: y = 0.08x + 61.98

Second plan: y = 0.13x + 53.98

Equate the two right hand sides of each equation; solve for x

0.13x + 53.98 = 0.08x + 61.98

0.13x - 0.08x = 61.98 - 53.98

0.05x = 8

x = 8/0.05

x = 160

Extra Info: plugging x = 160 into each equation gives us...

y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78

y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78

Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.