Let f be the fathers age and let s be the sons age
f = 60 s = 30
when f = 45
s = 15 which is only a third if his fathers age
when f = 40
s = 10 which is a quarter of his fathers age
therefore when his father was 4 times his age, the son was 10
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:

You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:

2. Substitute it into the first equation and solve for "m":

3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:

Answer:
<h3>
34, 35</h3>
Step-by-step explanation:
z - some integer
then the consecutive integer would be:
z+1, (or z-1)
the sum is 69 so:
z + z+1 = 96
2z = 68
z = 34
z+1 = 34 + 1 = 35
(or:
z + z-1 = 69
2z = 70
z = 35
z-1 = 35 - 1 = 34)
320 cups of soup
Step-by-step explanation:
2:5 is a part to whole ratio.
2/5=x/800
so we cross multiply to get:
5x=1600
x=320
320 cups of soup
Hope this is helpful