Question
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?
If Cinderella bought 6 roses, 2 lilies, and a carnation for
one lily?
Ask by Graham Tran. in Australia
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
One lily costs $5.50.
Solution

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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:
-
(the cost of a rose and a lily) -
(the cost of a rose and a carnation)
Cinderella’s total purchase can be described by the equation:
3.
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
.