Question

Please help. WILL MEDAL! Adrian went to the fruit store because they were selling p pears for c cents. When he arrived, the store announced a special of 5 cents less on each pear. How many pears could Adrian buy for 4 dollars? @jim_thompson5910 @Mehek14 @nincompoop @sleepyjess @satellite73 @zepdrix @Loser66 @just_one_last_goodbye @Elsa213

Answer 1

\[\frac{ c }{ p }\frac{ cents }{ pear }\]

Answer 2

^original price

Answer 3

\[\frac{ c-5 }{ p } \frac{ cents }{ pear }\]

Answer 4

^new price

Answer 5

This is where I get stuck.

Answer 6

It is an abstract equation so you won't find an "real" number.

Answer 7

It will contain algebraic variables.

Answer 8

@okdutchman7 the cost of one pear before the discount is c/p cents

after you apply the 5 cent discount for each pear, then you end up with the cost (c/p) - 5 cents for each pear

Answer 9

good catch jim i read that wrong

Answer 10

\[\frac{ c }{ p }-5\frac{ cents }{ pear }\]

Answer 11

Example:
c = 100
p = 2
c/p = 100/2 = 50 cents for one pear
(c/p)-5 = 50-5 = 45 cents per pear

Answer 12

I understand that.

Answer 13

I don't know how to relate dollars and cents.

Answer 14

since I don't know how many cents c represents

Answer 15

Let
x = number of pears bought
y = cost per pear (after discount)
z = total cost
All costs are in cents


In this case,
x = unknown
y = (c/p) - 5 cents per pear
z = 400 cents


That means


x*y = z
x*((c/p) - 5) = 400

solve for x

Answer 16

\[x=\frac{ 400 }{ c-5p }\]

Answer 17

What does this^ mean?

Answer 18

\[\Large x*\left(\frac{c}{p}-5\right) = 400\]
\[\Large \frac{x*\left(\frac{c}{p}-5\right)}{\frac{c}{p}-5} = \frac{400}{\frac{c}{p}-5}\]
\[\Large x = \frac{400}{\frac{c}{p}-5}\]
\[\Large x = \frac{400}{\frac{c}{p}-5}\times\frac{p}{p}\]
\[\Large x = \frac{400p}{\left(\frac{c}{p}-5\right)*p}\]
\[\Large x = \frac{400p}{\left(\frac{c}{p}\right)*p-\left(5\right)*p}\]
\[\Large x = \frac{400p}{c-5p}\]
So you are close but not quite there

Answer 19

That's what I got the first time :)

Answer 20

What does it mean? It represents the number of pears you can buy for \(\Large \frac{c}{p}-5\) cents if you only have 400 cents (4 dollars)

Answer 21

you forgot the p with the 400 though

Answer 22

Yeah that's what I got the first time.

Answer 23

\[\frac{ 400p }{ c-5p }\]

Answer 24

Is that the final answer?

Answer 25

yes

Answer 26

Thanks!

Answer 27

np