Answer to Question #236942 in Algebra for Sam

Question

tavon has a gift card for $125 that loses $3 each 30-day period it is not used. He has another gift card for $105 that loses $2.50 for each 30-day period it is not used.

Answer 1

$125-3\times x=105-2.5\times x\\125-105=3\times x- 2.5\times x\\20=0.5\times x\\x=40$

so the value of each gift card will be

$125-3\times x=105-2.5\times x$

now putting the value of x in above equation

$125-3\times 40=105-2.5\times 40\\125-105=105-100\\5=5$

so the value of each gift card will be $5.