5. SHOPPING Two stores are having a sale on T-shirts
1 answer:
Answer:
x=20% discount
y=$5 discount
Step-by-step explanation:
let
x= % of discount
y= amount of discount
Price of t shirt in store S=20 - 20x
Price of t shirt in store T= 20 -y
Rose spends $63 for three T-shirts from store S and one from Store T
Store S=20-20x
Store T=20-y
3 shirts from store S=3(20-20x)
1 from Store T=20-y
3(20-20x) + (20-y)=63
60 - 60x + 20-y=63
-60x - y= -17 (1)
Manny spends $140 on five T-shirts from store S and four from Store T
5(20-20x)+4(20-y)=140
100-100x+80-4y=140
-100x - 4y= -40 (2)
Solve eq 1 and 2
-60x - y= -17
-100x - 4y= -40
Multiply (1) by -4
-4(-60x-y)= -17*-4
240x+4y=68 (3)
-100x-4y=-40 (2)
Subtract (2) from (3)
140x=28
x=28/140
x= 0.2
substitute the value of x in (1)
-60x - y= -17
-60(0.2)-y=-17
-12-y=-17
-y=-17+12
-y=-5
Divide both sides by -1
-y/-1=-5/-1
y=5
Therefore,
x=0.2=20% discount
y=$5
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