Question

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A store has a discount of 15% off of all items. Amy has a $50 gift certificate and she wants to buy a jacket for $50 and a second item. What is the maximum original price of the second item?

Answer 1

@perl

Answer 2

@amistre64 @jim_thompson5910

Answer 3

I think they mean first item?

Answer 4

So are both items 50% of or the final purchase?

Answer 5

*off

Answer 6

The discount is only 15% off of all the items in the store.

Answer 7

The rest I am not too sure about.

Answer 8

is all she has to spend is the 50 gift certificate?

Answer 9

50(1-.15) for the jacket, leaves 50(.15) that can be covered

Answer 10

Yes. That's what I think so. It didn't give much more information about it.

Answer 11

the jacket* costs .85 * 50 , so how much money does she have left

Answer 12

$42.50 and if you subtract that from $50 it is $7.50 ?

Answer 13

K(1-.15) = 50(.15)

Answer 14

.85x = 7.50

x is your maximum price object

Answer 15

ooh sheesh , the question sounds like the jacket is 50 dollars after the 15% discount so it didnt make sense.. why she would even have money for a 2nd item -.-

Answer 16

she buys 2 things, each one is 15% off, so she pays:

A(1-.15) + K(1-.15) = 50

the first item is 50 soo find K

50(1-.15) + K(1-.15) = 50

sounds like a good approach

Answer 17

I read it as, both the jacket and the second item are 15% off.

Answer 18

But doesn't it say "maximum ORIGINAL amount?"

Answer 19

I don't think original can have any discounts in it.

Answer 20

@calculusxy Yeah that's right

Answer 21

So here is what I did.

\[0.85($50) + x \le $50\]
\[$42.50 + x \le $50\]
\[x \le $7.50\]

Answer 22

x is on sale, so your only paying .85x not x

Answer 23

x is the second item

Answer 24

of course it is ....

Answer 25

yes so that is what I am trying to find out , after all it says original

Answer 26

A store has a discount of 15% off of all items.

We are buying 2 things: A and K


Amy has a $50 gift certificate

.85(A+K) = 50


and she wants to buy a jacket for $50 and a second item.

.85(50+K) = 50


What is the maximum original price of the second item?
^^^^^^
these are A and K

Answer 27

But why would you put 15% on both of the items?

Answer 28

why would the information say that ALL THINGS in the universe are 15% off?

Answer 29

But it is saying the "maximumORIGINAL amount."

Answer 30

That is what threw me off.

Answer 31

yep, its does.

Answer 32

what is the price of the item seeing that its sale price (not its original price) is what you are paying for.

Answer 33

Of course I would've taken 15% off if it didn't say that. It would seem pretty obvious for me to do that. But that part just my nerves and confused me and several other classmates of mine.

Answer 34

spose we but 3 things

.85(a+b+c) for $50

abc are original prices

Answer 35

okay...

Answer 36

spose we want to buy out the whole store .... we would purchase it all of85% of its original value

Answer 37

does this make sense yet?

Answer 38

yeah

Answer 39

we have 7.50 left to cover an item thats on sale

.85x = 7.50 is all we can afford

Answer 40

i did not get that part. sorry

Answer 41

is the item we are buying on sale?

Answer 42

yes the items we are buying are on sale.

Answer 43

then is .85x its sale price?

Answer 44

yeah

Answer 45

then we dont want to know its sale price, we want know its original price: x

so solve for x

Answer 46

x=6.375?

Answer 47

no, when something goes on sale it doesnt generally cost MORE to purchace

Answer 48

.85x = 7.50

divide both sides by ... ,85

Answer 49

8.82?

Answer 50

much better

Answer 51

so some item x <= 8.82 will be covered by the remaining balance on the gift card

Answer 52

okay that makes much more sense. thank you so much!

Answer 53

youre welcme

Answer 54

my friends and I are having some misunderstanding wid this question. thanks for going it over.