Question 50206: This is what I have but when I worked it out it was inconceivable so I know I did something wrong. Please help. Andrea
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?
Lattes - $4 each - Quantity is x - Total is 4x
Cappuccinos - $3 each - Quantity is 30-x - Total is 3(30-x) or 90-3x
Mixture - $100 to spend - Quantity is 30 - Total is 3000
So then I said 4x+90-3x=3000
x=2910
I think I have the right idea but obviously it doesn't work.
Answer by mathchemprofessor(65)  (Show Source):
You can put this solution on YOUR website! This is what I have but when I worked it out it was inconceivable so I know I did something wrong. Please help. Andrea
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?
Lattes - $4 each - Quantity is x - Total is 4x
Cappuccinos - $3 each - Quantity is 30-x - Total is 3(30-x) or 90-3x
Mixture - $100 to spend - Quantity is 30 - Total is 3000
So then I said 4x+90-3x=3000
x=2910
I think I have the right idea but obviously it doesn't work.
THE LAST FEW STEPS WILL BE AS FOLLOWS:
Total amount spent=4x +(90-3x)=100
4x-3x+90=100
x+90=100
Subtracting 90 on both sides, we get
x=100-90=10
So the number of Lattes bought=10 for 10($4)=$40
Number of Cappuccinos bought=30-10=20 for 20($3)=$60
OK?
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