SOLUTION: I got an answer for this but struggling to understnad it it doesnt make complete sense to me, any help would be appreciated. Phil is making a Starbuck�s � run for his exhauste

Question 296654: I got an answer for this but struggling to understnad it it doesnt make complete sense to me, any help would be appreciated.

Phil is making a Starbuck�s � run for his exhausted Math 105 classes. He is going to buy a combination of Lattes and Cappuccinos. The Lattes cost $4 each and the Cappuccinos cost $3 each. If he needs 30 drinks total and has $100 to spend, how many of each should he buy?

my answer is
1 + c = 30
41 +3c =100
c=20 L=10
I am just unsure if this is correct doesnt seem to make alot of sense to me. Any help in explaining why this is right would be a help to me.
Eric
Found 3 solutions by checkley77, Fombitz, richwmiller:
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
1 + c = 30
41 +3c =100
c=20 L=10
----------
Proof:
4*10+3*20=100
40+60=100
Looks good.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
You're using "1" instead of "l" but I think you mean lattes, right?
I'll just capitalize.
Your setup is correct.

.
.
.

Then

Your answer is correct also.
He can buy 20 cappucinos and 10 lattes if he wants to exactly use $100 and buy exactly 30 drinks. He could also buy 30 cappucinos and have $10 left over.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Yes, those are the same equations I gave a few days ago. Your answer has a slight error in it. The numbers are right.
What doesn't make sense?
Did you actually do the work or did you get it from somewhere else?

RELATED QUESTIONS
Any four people on a committee of seven people can make a decision for the committee.... (answered by stanbon)
How fast would I be going if it takes me an hour to go 30 miles? If i divide distance... (answered by checkley79,Edwin McCravy)
A problem on my math homework really gave me a hard time trying to understand it because... (answered by josgarithmetic,stanbon)
i dont know how to simplify rational expressions. it just doesnt make sense to me the way (answered by mananth)
i tryed graphing this but it didn't make sense to me. could u help me see what the graph... (answered by Alan3354)
Hi! I am a 7th grade pre-algebra student and I was trying to complete a homework packet... (answered by stanbon,LinnW)
A) Find the cross section of this shape. B) Find the volume of this shape. The shape... (answered by solver91311)
I would appreciat help with this one. Thank you (1-x)^2=9 I think that I need to set... (answered by Alan3354)
I do not understand how to come up with the answer or an equation to help me get the... (answered by stanbon)