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3 years ago

Tickets to the Biggest Loser Contest cost

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer:

50 children's tickets were sold.

Step-by-step explanation:

Given:

Tickets to the Biggest Loser Contest cost $3.00 for children and $4.50 for

adults. If 225 tickets were sold for a total of $937.50.

Now, to get the children's tickets sold.

Let the number of children tickets be $x.$

And let the number of adult tickets be $y.$

So, the total number of tickets sold:

$x+y=225\\\\y=225-x\ \ \ ....(1)$

Now, the total amount of the tickets sold:

$3.00(x)+4.50(y)=937.50$

Substituting the value of $y$ from equation (1) we get:

$3.00(x)+4.50(225-x)=937.50$

$3x+1012.50-4.50x=937.50$

$1012.50-1.50x=937.50$

Subtracting both sides by 1012.50 we get:

$-1.50x=-75$

Dividing both sides by -1.50 we get:

$x=50.$

The number of children tickets = 50.

Therefore, 50 children's tickets were sold.

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

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3 years ago

A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o

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Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

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Answer:

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Step-by-step explanation:

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