PLZ I NEED WITH THIS QUESTION PLZ
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The cost of 1 part hat is $ 1.5 and cost of 1 roll of streamer is $ 2.5
<em><u>Solution:</u></em>
Let "c" be the cost of each rolls of streamer
Let "p" be the cost of each party hats
<em><u>Three rolls of streamers and fifteen party hats cost $30</u></em>
Therefore, we frame a equation as:
Three rolls of streamers x cost of each streamer + fifteen party hats x cost of each party hats = 30
3c + 15p = 30 -------- eqn 1
<em><u>Later, you bought two rolls of streamers and four party hats for $11</u></em>
Thus we frame a equation as:
2c + 4p = 11 ------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Multiply eqn 1 by 2</u></em>
6c + 30p = 60 ------ eqn 3
<em><u>Multiply eqn 2 by 3</u></em>
6c + 12p = 33 -------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6c + 30p = 60
6c + 12p = 33
( - ) --------------
18p = 27
p = 1.5
<em><u>Substitute p = 1.5 in eqn 2</u></em>
2c + 4(1.5) = 11
2c + 6 = 11
2c = 5
c = 2.5
Thus cost of 1 part hat is $ 1.5 and cost of 1 roll of streamer is $ 2.5