A few days ago
please!!! help me with this word problem…how do i do it?
Deborah bought some roses and carnations at a local flower shop. Carnations cost $3.50 each and roses cost $5.50 each. The total cost of 12 flowers is $52.00. How many roses and how many carnations did Deborah buy?
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A few days ago
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Let’s say R = Roses and C = Carnations. The problem tells you that R + C = 12 flowers total.
Now, if you have two unsolved elements, R and C, you can’t solve the equation. So, you have to re-arrange the two unsolved elements into one unsolved element. How? Well, let’s say you’re going to solve C. Then, another way to look at R is to re-arrange the R + C = 12 into R = 12 – C. So, now you have (12 – C) + C = 12. (That’s exactly the same as R + C = 12).
So, now you can create an equation to solve for C:
(3.50 x (12 – C)) + (5.50 x C) = 52.00
42 – 3.50C + 5.50C = 52.00
2C = 10
C = 5
You’ve solved C. Now you can solve for R, which is 12 – C.
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