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Masteriza [31]
3 years ago
8

Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Larry, you've got two rolls of streame

rs in for a party hats for $11. How much did each role of streamers cost? How much did each party hat cost? Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Where, you bought two rolls of streamers and four party hats for $11. How much did each role of streamers cost? How much did each party hat cost?
Mathematics
2 answers:
lisabon 2012 [21]3 years ago
7 0

Answer:

each role of streamers cost $2.5

each party hat cost $1.50

Step-by-step explanation:

Let 's' represent rolls of streamers and 'h' represent party hats

Lets form an equation first

=>For three rolls of streamers and 15 party hats cost $30.

3s + 15h = 30

s= (30-15h)/3 ----> eq(1)

=>For 2 rolls of streamers and 4 party hats cost $11.

2s + 4h = 11

s= (11 -4h)/2 ----> eq(2)

Lets equate eq 1 and 2 in order to find 'h'

(30-15h)/3= (11 -4h)/2    ---->(applying cross multiplication)

60 - 30h = 33 - 12h

60-33 = 30h -12h

27 = 18 h

h= 27/18 => 1.50

therefore, each party hat cost $1.50

substitute above value in eq 1

(1)=> s= (30-15h)/3

s= 30-(15  x 1.5) / 3

s= 2.5

Therefore, each role of streamers cost $2.5

aleksklad [387]3 years ago
5 0

Answer:

Each steamer costs $2.5 and each party hat costs $1.5

Step-by-step explanation:

Let the cost of 1 steamer =x

Let the cost of 1 party hat =y

Three rolls of streamers and 15 party hats cost $30

  • 3x+15y=30

Two rolls of streamers and four party hats for $11.

  • 2x+4y=11

We solve the two equations simultaneously.

Multiply equation 1 by 2 and equation 2 by 3

6x+30y=60

6x+12y=33

Suntract

18y=27

y=1.5

From 6x+30y=60

6x+30(1.5)=60

6x+45=60

6x=60-45=15

x=2.5

Since x=2.5 and y=1.5

Each steamer costs $2.5 and each party hat costs $1.5

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x = 387

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The wind acts in the same direction as the plane when the time is shorter.

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Since the two distances are the same, you can equate the right hand sides.

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