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

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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
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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.

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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?