Problema Solution

Suppose you bought supplies for a party. Three rolls of streamers and fifteen party hats cost $30. Later, you bought two rolls of streamers and four party hats for $11. Write and solve a system of equations to determine the cost of streamers and party hats, find their costs.

Answer provided by our tutors

let


s = the cost per streamer


h = the cost per hat


Three rolls of streamers and fifteen party hats cost $30:


3s + 15h = 30


Later, you bought two rolls of streamers and four party hats for $11:


2s + 4h = 11


by solving the system of equations:


3s + 15h = 30


2s + 4h = 11


we find:


s = $2.5


h = $1.5


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the cost of a streamer is $2.5.


the cost of a party hat is $1.5.