SOLUTION: Kathi and Robert Hawn had a pottery stand at the annual skipcack craft fair. They sold some of their pottery at the original price of $9.50 for each piece, but later decreased the

Question 563567: Kathi and Robert Hawn had a pottery stand at the annual skipcack craft fair. They sold some of their pottery at the original price of $9.50 for each piece, but later decreased the price by $2. If they sold all 90 pieces and took in $713, find how many pieces they sold at the original price and how many pieces they sold at the reduced price?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let them sell x pieces at $9.50
and y pieces at $7.50
x+y=90
9.5x+7.5y=713
$9.50 x numbers
$7.50 y numbers

1 x + 1 y = 90 .............1
9.5 x + 7.5 y = 713 .............2
Eliminate y
multiply (1)by -7.5
Multiply (2) by 1
-7.5 x -7.5 y = -675
9.5 x 7.5 y = 713
Add the two equations
2 x = 38
/ 2
x = 19
plug value of x in (1)
1 x + 1 y = 90
19 + 1 y = 90
1 y = 90 -19
1 y = 71
y = 71
$9.50 19 numbers
$7.50 71 numbers
m.ananth@hotmail.ca

RELATED QUESTIONS
Help needed! Kathi and Robert Hawn had a pottery stand at the annual skipcack craft... (answered by rothauserc)

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold... (answered by Theo)

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold... (answered by josmiceli)

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold... (answered by stanbon)

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold... (answered by josgarithmetic)

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold... (answered by josmiceli)

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold... (answered by josgarithmetic,ikleyn)

Kathi and Robert Hawn had pottery stand at the annual Skippack Craft FairThey sold some... (answered by ikleyn,greenestamps,math_tutor2020,josgarithmetic)