PhilT. Rich has $100 and sends $3.00 of it per day.Ernest worker has only $20,bu

Question

PhilT. Rich has $100 and sends $3.00 of it per day.Ernest worker has only $20,but is adding toit at the rate of $5.00 per day.let x be the # of days
a.write the defintion of x. Then write two expressions one repsenting how much Phil has after x days and the other representing how much Ernest has after x days.
b. Who has more money, and howmuchmore,After: 1 week then 2weeks
c. After how maney days will ieach have the same amoumt of money? write and solve an equation to find this number of days.
d. Show that each actually does have the samt amount of money after the number of days you calculated in part (c).

Explanation / Answer

A) let x be the number of days step 1: solve for x by saying the money ernest has equals that of richs so . . . 100 - 3x = 20 + 5x add 3x to each side 100 = 20 + 8x -20 from each side 80 = 8x solve for x 10 = x B) to solve for how much they have start with how much they already have so . . . Rich's $ = 100 . . . Ernest's $ = 20 . . . then keep in mind how much they add (+) or subtract (-) from what they have perday (x), so it will look like: (+ or -) $x Rich's $= 100 - 3x Ernest's $ = 20 + 5x

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