Two stores are having a sale on T-shirts. Read rest in description

Question

Two stores are having a sale on T-shirts that normally sell for $20 store S is advertising an S percent discount and store T is advertising a T dollar discount. Rose spends $63 for three T-shirts from store D and one fro Store T Manny spends $140 on five T-shirts from store S and four from Store T. Find a discount from each store

Answer 1

Two stores are having a sale on T-shirts that normally sell for $20 .store S is advertising an S percent discount and store T is advertising a T dollar discount. Rose spends $63 for three T-shirts from store D( I am considering store S) and one fro Store T Manny spends $140 on five T-shirts from store S and four from Store T. Find a discount from each store

 

Solution:

let s= % of discount

 

t= amount of discount

 

 

Price of t shirt in store S=20 - 20s

 

Price of t shirt in store T= 20 -t

 

Rose spends $63 for three T-shirts from store S and one fro Store T

3(20-20s) +20-t=63

 

60-60s+20-t=63

-60s-t=-17   ----------------------------1

 

Manny spends $140 on five T-shirts from store S and four from Store T

 

5(20-20s)+4(20-t)=140

 

100-100s+80-4t=140

-100s-4t=-40   -------------------------2

 

Solve eq 1 and 2

-4(-60s-t=-17)

 

240s+4t=68

-100s-4t=-40

 

--------------------------

140s=28

 

s= 0.2

 

 

 

substitute the value of s in eq1

 

 

-60(0.2)-t=-17

 

-12-t=-17

 

-t=-5

t=5

 

s= % of discount=0.2=20% discount

t= amount of discount= $ 5 discount