Question

Find the original price of a pair of shoes if the sale price is $48 after a 20% discount......what is the original price!

Answer 1

when you do a 20% discount what you're left with is 80% of the original price.

to get 80% of something you multiply by 0.8

so if our original price was X then our discount price is 0.8X

so now 48 = 0.8X

divinding by 0.8 we get

X = 60

Answer 2

does that make sense to you?

Answer 3

if it doesnt just say and ill try to help :)

Answer 4

yes
would all the problems be able to be worked out like that

Answer 5

all problems of that form :D

if you have one that you're unsure about post it and ill have a look

Answer 6

the number of different cars sold in some country rose from 203 to 1997 to 208 in 2007. find the percent increase round to the nearest whole percent

Answer 7

this one is slightly different

so percentage increase is:

\[\frac{\text{change}}{\text{original value}} \times 100\]

have a go and if you get stuck ill help :)

Answer 8

102?

Answer 9

208/203*100??

Answer 10

ah you've made a mistake everyone tends to make, the change is not 208, but 208 - 203 = 5

Answer 11

ok so 208-203=5 so it would be five percent?

Answer 12

.05*100?

Answer 13

ahh this seems so simple and i cant fgure it out

Answer 14

dont worry, with practice it gets easier :)

\[\frac{208 - 203}{203} \times 100 = 0.02463054187 \times 100 = 2.46 %\]

Answer 15

see there, the change is 5, divided by the original value which was 203

Answer 16

ok i see let me try one and ill get back to yu

Answer 17

ok

Answer 18

find the last years salary if, after a 6% pay raise, this years salary is 33920

Answer 19

i got the other... :) thanks

Answer 20

this ones the same situation as the first, in a way.

if we increase something by 6% then we will have 106%

to actually increase we have to multiply by (106)/(100) = 1.06

lets say the starting salary was Y

we then increase it by 6% and we are left with 1.06Y

now 33920 = 1.06Y

dividing by 1.06 gets us 32000 = Y

Answer 21

gotcha give me a sec doign another one

Answer 22

ok got that but heres another i have tried three times

Answer 23

a coffee company wants a new flavor of cajun coffee. how many pounds of coffee worth $9 a pound should be added to 10 pounds of coffee worth $3 a pound to get a mixture worth $7 a pound

Answer 24

how wouldi set it up

Answer 25

so this one its worth making an equation. cost/amount = 7
lets call the amount of pounds we add "x"
starting cost is 10*3 = $30 and each time we add a pound it adds $9
so if we add x pounds the value is 30 + 9x

starting amount is 10 pounds and it adds 1 pound each time
so if we add x pounds then the amount is 10 + x

we know that cost/amount = 7
(30 + 9x)/(10 + x) = 7

now you just have to solve this

Answer 26

39x/10x=7?? would be the next step

Answer 27

sorry 11x

Answer 28

no, you're adding the like terms wrong 30 + 9x isnt 39x

what you have to do is multiply by the bottom expression: