+8y and -8y cross out.
So the first one is 3x=15
Second one is 2x=10
x=5
Then plug x is one of the equations
2(5)-8y=10
10-8y=10
x=5
y=0
Your father will require 14.6 cups of sugar for the larger group
<h3>Ratio and proportions</h3>
From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;
6 people = 2.5 cups of sugar
In order to calculate for 35 people, we will have;
35 people = x
Taking the ratio of the expressions
6/35 = 2.5/x
6x = 87.5
x = 87.5/6
x = 14.6
Hence your father will require 14.6 cups of sugar for the larger group
Learn more on ratio and proportions here: brainly.com/question/19994681
The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.
<h3>
About how many contestants will win?</h3>
The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).
Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5
Then, for a sample N, we can expect that about 0.5*N of the participants win.
In this case, the sample is 250, then we can expect that:
0.5*250 = 125
Around 125 of the contestants win the game
If you want to learn more about probability, you can read:
brainly.com/question/251701
