One yellow daisy and two pink carnations tied with ribbon will be used for corsages at a Mother's Day banquet. Each corsage takes 6 inches of ribbon. The daises are $0.85 each, the carnations are $0.50 each, and the ribbon is $0.24 per foot. There will be 24 corsages. What is the total cost?

Respuesta :

Answer:

  $47.28

Step-by-step explanation:

The total cost is found by adding the costs of the components.

Component cost

There is one daisy, at $0.85 each.

There are to carnations at $0.50 each, for a total of 2×$0.50 = $1.00.

The is 6 inches of ribbon. That amount is 1/2 foot, so its cost is ...

  (1/2 ft)×$0.24/ft) = $0.12.

Total cost

The total cost of the components of one corsage is ...

  daisy cost + carnation cost + ribbon cost = $0.85 +1.00 +0.12 = $1.97

There are 24 corsages, so their total cost will be 24 times this amount, or ...

  24 × $1.97 = $47.28

The total cost of the 24 corsages is $47.28. All the costs of the components required for making a corsage are added to get the total cost of the corsage.

How to calculate the total cost?

  • Total cost is the sum of all the individual component costs.
  • Consider a and b are the two components with a cost K of each. Then the total cost = aK + bK

Calculation:

It is given that,

The components and their costs:

The cost of each daise = $0.85

The cost of each carnation = $0.50

The cost of the ribbon per foot = $0.24 (1 foot = 12 inches)

The components for making one single corsage:

One yellow daisy + two pink carnations + 6 inches of ribbon = 1 corsage

Then, calculating the price for one single corsage,

1 × $0.85 + 2 × $0.50 + (1/2) × $0.24 = cost of 1 corsage

⇒ $0.85 + $1 + $0.12

⇒ $1.97

For 24 corsages, the total cost = 24 × $1.97 = $47.28

Therefore, the total cost of the 24 corsages is $47.28.

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