You need 48 (25$ priced prizes) and 16 (100$ priced prizes)
hope this help took me long it was hard!
"A ratio of 4 to 5" means that dividing the two angles (whatever they may be) simplifies to 4/5. One example is 40 degrees and 50 degrees so 40/50 = 4/5. Another example is the pair of angles 20 and 25, so 20/25 = 4/5
For now, we don't know the angles. Let's call them x and y. Based on the info above, we can say
x/y = 4/5
also we know that x and y add to 90 degrees because the angles are complementary. So x+y = 90 which solves to y = 90-x if you isolate y.
Let's cross multiply on the first equation to get...
x/y = 4/5
5*x = 4*y
Now replace y with 90-x. Solve for x
5x = 4(90-x)
5x = 360 - 4x
5x+4x = 360
9x = 360
x = 360/9
x = 40
Use this to find y
y = 90 - x = 90 - 40 = 50
So the two angles are 40 degrees and 50 degrees.
Answer:
1350
Step-by-step explanation:
300x4=1200
300×.5=150
1200+150=1350
Profit for August: x
Profit for September: x - 22%x
Total Profit for August & September: $689,000
x + x - 22% x = 689,000
2x - .22x = 689,000
1.78x = 689,000
x = 689,000/1.78
x = 387,078.65
August Profits: $387,078.65
September Profits: 387,078.65 - (22%)(387,078.65) = 387,078.65 - 85,157.30 = 301,921.35
August Profits: $387,078.65
September Profits
$301,921.35
B is the first table
c is the second table
a is the third table
:)