Algebra 1 Problem?

Question

Write and simplify an expression for the situation. “ Matthew makes bracelets and necklaces using beads. He uses 34 beads for each bracelet (b) and 72 beads for each necklace. He makes two more necklaces than bracelets. Write an expression for the total number of beads he uses.”

Answer 1

b = number of bracelets

 

He makes two more necklaces than bracelets

b + 2 = number of necklaces

 

n = number of beads

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He uses 34 beads for each bracelet (b) and 72 beads for each necklace (b + 2)

n = 34b + 72(b + 2)

 

Distribute the 72

n = 34b + 72b + 144

 

Combine like terms

n = 106b + 144 <–––––

Answer 2

let x = number of bracelets then

x+2 = number of necklaces

34x = number of beads needed for bracelets

72(x+2) = number of beads in necklaces

total number of beads = 34x + 72(x+2)

                        = 34x +72x + 144

                       = 106x + 144