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4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio
Product of mean = Product of extreme
Dividing both sides by 2
4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;
Product of mean = Product of extreme
Dividing both sides by 8
y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion
Product of mean = Product of extreme
Dividing both sides by 2
7 liters of punch will serve 28.
Keywords: ratio, proportion
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a) Equation:
b)
1st case: 119 tickets
2nd case: 106 tickets
3rd case: 95 tickets
Step-by-step explanation:
a)
Terry and Tony want to make a profit of
P = $475
in total from the ticket sale.
Here we call the price per ticket.
Then we also call the number of tickets sold: therefore, this total profit made by Terry and Tony from the ticket sale is the product between the tickets sold, N, and the price per ticket, x:
And since they want to do a profit of P = $475, we can therefore write
b)
The equation of part a) can be re-arranged as
where N is the number of tickets sold and x the price per ticket.
The 1st group of student want to charge $4.00 per ticket, so
x = 4.00
And so the number of tickets that they should sell in this case is
The 2nd group of student want to charge $4.50 per ticket, so
x = 4.50
And so the number of tickets that they should sell in this case is
Terry and Tony want to charge $5.00 per ticket, so
x = 5.00
And so the number of tickets that they should sell in this case is
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