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mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Let the number of daisies = d Let the number of roses = r Since he buys 3 more daisies than roses, you get the equation d = r + 3 The cost of each rose is $3, so the cost of r roses is 3r The cost of each daisy is $1, so the cost of d daisies is 1d or just d The total cost is 3r + d = 15 Solve the two equations simultaneously: d = r + 3 3r + d = 15
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
i dont get it
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Are you learning about systems of equations?
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
Using Linear Equations to Solve Problems
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Ok, let's do it with one single equation.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
i dont know how to do that though
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
so 1+3 prety much
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
No, not exactly. If the number of roses is 1, you have 1 + 3 daisies = 4 daisies. But you don't know how many roses you have, so you let the variable r stand for the number of roses. Then whatever r is, if you add 3 to it, you have the number of daisies.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
i stil dont get it im sorry
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
How do you represent an unknown amount in algebra? You use a variable which is a letter to represent it.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
i know
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
In this case, we have two things we don't know, and we are trying to find out. The two things are the number of roses and the number of daisies.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
yeah
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
We are given some information that allows us to find the number of roses and the number od daisies.
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
One piece of information we are given is that whatever number of roses and daisies we will have, there are 3 more daisies than roses.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
yes and this is so confusing
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Follow along, I'm explaining it step by step. Since we are using algebra to answer this question, and not some type of guess, we need to turn the question into an algebra problem. Algebra problems are usually solved with equations.
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
In order to wrtite an equation that will help us solve this problem, we need to call some unknown numbers by letters, which are called variables in algebra.
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
What are the unknown numbers we want to find? 1. The number of roses 2. The number of daisies
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
both
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Right. Since the word rose starts with the letter r, to make it easy to remember, I will let the letter r mean the number of roses.
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
As of now, we don't know how many roses we have, but the letter r means the number of roses. We write this as: Let r = the number of roses
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
We assigned the variable r to the unknown number of roses.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
ok
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Now we work with thte information we are given. We are looking for two unknown numbers, the number of roses and the number of daisies. We don't know either one, but so far we have called the number of roses r. Now we need to deal with the number of daisies. We don't know that number either, but we do know something about it.
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
The question states: "He buys 3 more daisies than roses". Since we are callonmg the number of roses r, and there are 3 more daisies than roses, what can we call the number of daisies? The number of roses plus 3. That is r + 3
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Now we have variables assigned to both of our unknowns: r = number of roses r + 3 = number of daisies
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
daisies=d
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Yes, you can call daisies d, but it won't help as much as calling daisies r + 3, since you know whatever number of roses you have, if you add 3 to it, you'll get the number of daisies.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
ok sorry
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Once again, r = number of roses r + 3 = number of daisies
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Now we move on to the given information about the prices of the flowers and the total amount spent.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
$15
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
The roses cost $3 each One rose costs 1 * $3 Two roses cost 2 * $3 Three roses cost 3 * $3 Four roses cost 4 * $3 r roses cost?
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
The cost of the roses is the number of roses times the cost of 1 rose. If one rose costs $3, r roses cost r * 3 = 3r
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
The same thing is true about the cost of the daisies. 1 daisy costs 1 * $1 2 daisies cost 2 * $1 3 daisies cost 3 * $1 r + 3 daisies cost (r + 3)1 = r + 3
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
so the answer is 3 roses?
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Not yet. Now what is the total cost. You already mentioned it's $15. The cost of the roses + the cost of the daisies = total cost The cost of the roses = 3r The cost of the daisies = r + 3 The total cost = 15 Now we can write an equation for the costs: 3r + r + 3 = 15
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Now we solve our equation: 3r + r + 3 = 15 Add the 3r and r together: 4r + 3 = 15 Subtract 3 from both sides: 4r = 12 Divide both sides by 4: r = 3 Now that we know r = 3, the number of roses is 3, since there are 3 more daisies than roses, so there are 6 daisies. The final answer is: 3 roses, 6 daisies.
 one year ago

elexusvanderhorst Group TitleBest ResponseYou've already chosen the best response.1
ok great thank you so much
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
Check: Cost of 3 roses: 3 * $3 = $9 Cost of 6 daisies: 6 * $1 = $6 Total cost: $9 + $6 = $15 Total cost is correct. 6 daisies is 3 more daisies than 3 roses. Answer is correct.
 one year ago

mathstudent55 Group TitleBest ResponseYou've already chosen the best response.1
You are welcome.
 one year ago
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