Zack's Mom gave Tom $500 to spend on buying jeans, DVD, Jackets and shirts so, Jeans cost $80 each, Dvd cost $3, Jacket cost $150 and shirt cost $15, so how many jeans, DVD, Jackets and shirts do he need to buy to make $500

Question

anonymous · Answer

@e.mccormick

anonymous · Answer

please help

whpalmer4 · Answer

I assume you need to buy at least one of each item, and that it is to come out as exactly $500?

anonymous · Answer

ya

anonymous · Answer

so how many i have to buy each

whpalmer4 · Answer

okay, how much for one jacket and one pair of jeans?  how much do you have left to spend after that?

anonymous · Answer

1 jacket is $150
1 jeans is $80

whpalmer4 · Answer

okay, and that totals how much?  how much is left to spend?

anonymous · Answer

$500

whpalmer4 · Answer

no, you start with $500.  you buy 1 jacket for $150, and one pair of jeans for $80.  How much money do you have left?

anonymous · Answer

$270

whpalmer4 · Answer

okay, how many shirts and dvds could you buy for $270?

anonymous · Answer

@whpalmer4

whpalmer4 · Answer

I'm right here, waiting for your answer :-)

anonymous · Answer

@e.mccormick what do u think

whpalmer4 · Answer

how many shirts could you buy for $270 if they cost $15 each?

anonymous · Answer

18 shirts

whpalmer4 · Answer

okay.  shirts cost $15, dvds cost $3.  we need to get some dvds as well, so we need to trade at least one shirt's worth of money into buying dvds.  your call on how to divide it up, you get 5 dvds for each shirt you don't buy.

anonymous · Answer

ok

anonymous · Answer

so what

anonymous · Answer

how many jackets we need to buy

whpalmer4 · Answer

we already said we were going to buy 1 jacket and 1 pair of jeans, which left us with $270 to spend on shirts and dvds.

anonymous · Answer

thnx

whpalmer4 · Answer

as it turns out, there are 25 different ways you could spend the $500 exactly and get at least 1 of each item

whpalmer4 · Answer

start with 1 each of jackets and jeans, then 1 shirt and 85 dvds
now simultaneously add one shirt and remove 5 dvds until you get to
1 jacket, 1 jeans, 17 shirts, 5 dvds

next, do 1 jacket, 4 jeans, 1 shirt, 5 dvds

then do 2 jackets, 1 jeans, 1 shirt, 35 dvds
and repeat the process of adding a shirt and removing 5 dvds until you get to 2, 1, 7, 5