Question
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At the flower shop, a rose and a lily cost , and a rose and a carnation cost
.
If Cinderella bought 6 roses, 2 lilies, and a carnation for , what is the cost of
one lily?

Ask by Graham Tran. in Australia
Jan 23,2025

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Tutor-Verified Answer

Answer

One lily costs $5.50.

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Extra Insights

To solve the problem, let’s denote the cost of a rose as , the cost of a lily as , and the cost of a carnation as .
From the problem, we have the following equations based on the costs:
  1. (the cost of a rose and a lily)
  2. (the cost of a rose and a carnation)
Cinderella’s total purchase can be described by the equation:
3.
Now, let’s solve the equations step by step.
From equation 1, we can express in terms of :
From equation 2, we can express in terms of :
Now we’ll substitute and back into equation 3:
Distributing and combining like terms:
Next, we isolate :
Now that we have the cost of a rose , we can find using the first equation:
Lastly, to confirm the calculation, let’s find the cost of the carnation :
So the costs are:
  • Rose
  • Lily
  • Carnation
Thus, the cost of one lily is .

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