Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
5 = 6y
y =
Answer:
L=$24.95 , G=$12.75
Step-by-step explanation:
This problem is a classic system of equations problem. There are several methods of solving these problems, because of the circumstances and values given I think it's best to use the elimination method. The elimination method attempts to cancel out a variable by subtracting one equation from another.
The first statement Marie received an order of 5 trays of lasagna and 3 trays of garlic bread for a total of $163. I'm going to use "L" for lasagna and "G" for garlic bread. Therefore, the equation for the scenario above is:
In the second statement Marie received an order of 4 trays of lasagna and 4 trays of garlic bread and so:
Now we cannot use the elimination method directly because equation 1 and equation 2 do not have any coefficients in common. However, we can eliminate "G" by first multiplying the top equation by 4 and the bottom equation by 3. We are doing this because those are the coefficients of the other equation, and thus will return a common value as such:
Equation 1:
Equation 2:
Now we can subtract equation 2 from equation 1 and eliminate the "G" variable as such:
By solving for L we obtain:
Therefore, one tray of lasagna is $24.95. Now that we know the value of "L" we can use any of our original equations to figure out what "G" is. I'll use the first equation and so:
And so the price of a tray of garlic bread is $12.75. So the answer is the price of lasagna = $24.95 and garlic bread = $12.75
~~~Brainliest Appriciated~~~
Answer:
The price of each senior citizen ticket is $13.31 and that of each child ticket is $14.49.
Step-by-step explanation:
If the cost per single senior citizen ticket is x and the cost per single child ticket is y.
Now, 10 senior citizen tickets and 5 child tickets cost a total of $205.55.
Hence, 10x + 5y = 205.55 ....... (1)
⇒ 20x + 10y = 411.1 ....... (2)
And 4 senior citizen tickets and 13 child tickets for a total of $241.61.
Hence, 4x + 13y = 241.61 ........ (3)
⇒ 20x + 65y = 1208.05 ......... (4)
So, from equations (2) and (4) we get,
55y = 796.95
⇒ y = 14.49
And, from equation (1), we get
10x + 5(14.49) = 205.55
⇒ 10x = 133.1
⇒ x = 13.31
Therefore, the price of each senior citizen ticket is $13.31 and that of each child ticket is $14.49. (Answer)