want to make confetti. In order to get the right balance of ingredients for their tastes they bought 2 pounds of paper hearts at $ 3.42 per pound comma 2 pounds of sparkling stars for $ 3.93 per pound comma and 5 pounds of shiny coils for $ 2.53 per pound. Determine the cost per pound of the confetti.

Respuesta :

Answer:

$3.039

Step-by-step explanation:

Step 1

They bought 2 pounds of paper hearts at $ 3.42 per pound

1 pound = $3.42

2 pounds =

2 × $3.42

= $6.84

2 pounds of sparkling stars for $ 3.93 per pound

1 pound of sparking stars = $3.93

2 pounds =

$3.93 × 2

= $7.86

5 pounds of shiny coils for $ 2.53 per pound.

1 pounds of shiny coils = $2.53

5 pounds =

5 × $2.53

= $12.65

Step 2

We find the total cost of the materials

Total cost of Materials that make up the confetti = Cost of paper heart + Cost of sparkling stars + Cost of shiny coils.

= $6.84 + $7.86 + $12.65

= $27.35

Step 3

Total pounds of materials bought = 2 pounds + 2 pounds + 5 pounds

= 9 pounds

Step 4

The cost per pound of confetti = Total cost of the materials bought/ Total pounds of materials

= $27.35/9

= $3.0388888889

Approximately ≈ $3.039

The cost per pound of the confetti = $3.039

The cost per pound of the confetti is  $3.04

Total cost :

Given that, they bought 2 pounds of paper hearts at $ 3.42 per pound.

The cost of 2 pounds of paper hearts is, [tex]=2 *3.42=6.84[/tex]

the 2 pounds of sparkling stars for $ 3.93 per pound

The cost of 2 pounds of sparkling stars is, [tex]=$3.93 * 2=7.86[/tex]

the 5 pounds of shiny coils for $ 2.53 per pound.

The cost of 5 pounds of  shiny coils is, [tex]=5 * $2.53=12.65[/tex]

Total cost of confetti is,

                         [tex]= $6.84 + $7.86 + $12.65=27.35[/tex]

Total pounds of materials bought ,

                          [tex]=2+2+5=9pounds[/tex]

The cost per pound of confetti is,

                         [tex]=\frac{27.35}{9}=3.04[/tex]

The cost per pound of the confetti  is $3.039

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