Brianna's Concert Attire
Brianna Perez, Rosa L. Parks School of Fine and Performing Arts
Brianna uses algebra to determine the costs of each pair of heels and each dress. She uses a
visual and verbal model, as well as a question to formulate a problem statement in order to
solve the answer. The presentation demonstrates how math can be applied practically to solve
real-world problems.
$80
$50
Verbal:
Brianna has two upcoming concerts to perform. On Friday she opens up a concert for Ariana Grande.
She needs two new pairs of heels and three brand new dresses. On Saturday, she opens up a concert for
Mariah Carey and needs one more pair of shoes and two more gowns. Her first purchase came out to
$800, and her second purchase came out to $500.
Question:
If her first purchase came out to $800 and her second purchase came out to by $500, what was the cost
of each pair of heels and each dress?
Equation:
Substitution:
2h + 3d = $800
2h+3d=800
h + 2d = $500
h+2d=500
Let "h" represent the cost of each heel.
1) h+2d=500
Let "d" represent the cost of each dress.
2d -2d
h= -2d+500
Elimination:
2) 2(-2d+500)+3d=800
2h+3d=800
-4d+1000+3d=800
h+2d=500
-d+1000=800
1) 2h+3d=800
-1000 -1000
-2(h+2d=500)
-d =-200
2) 2h+3d=800
-1
-1
-2h-4d=-1000
d= $200
-d =-200
3) h+2(200) =500
-1
-1
h= -2d+500
d = $200
-400 -400
3) h+2(200) =500
h = $100
h+400=500
h= $100 d= $200
400 -400
So Brianna spent $100 for each pair of heels and
h=$100
$200 for each dress she bought for the concerts.
4