Answer:
1 5/9 OR 14/9
Step-by-step explanation:
First we need to find out what the question is asking. How much sugar will she need if she wants to make 2 1/3 batches?
Next, we must see if we need to divide, subtract, multiply, or add. We need to divide.
2 1/3 divided by 1 1/2
Convert mixed numbers to improper fractions: 2 1/3=7/3 1 1/3=3/2
Apply the fraction rule a/b/c/d=a*d/b*c: 7*2/3*3
14/9 OR 1 5/9
Sample Space for the Cube, A={1,2,3,4,5,6}
n(A)=6
Even Numbers in A={2,4,6}
Sample Space for the Cards, B={1,2,3,4,5}
n(B)=5
Even numbers in the card,B= {2,4}
The two events are INDEPENDENT Events as the outcome of the cube does not affect the card picked, therefore:
P(A and B)=P(A) X P(B)
=
x = 6
simplify both sides: 1 + x = 2x - 5
subtract x from both sides: 1 = x - 5
add 5 to each side: 6 = x
2 balls
6 balls/ 3 scarves
divide the top and bottom by 3
2 balls/ 1 scarf