<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>
Answer:
<em>1300 children attended the basketball game</em>
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
Amount of chemical A mixed in medicine = 9.357 g
Amount of chemical B mixed in medicine = 12.082 g
Amount of chemical C mixed in medicine = 7.502 g
We have to determine the total amount of medicine he prepared in grams.
Total amount of medicine
= 9.357 + 12.082 + 7.502
= 28.941 grams
So, he prepared 28.941 grams of medicine.
Now, we have to round each chemical to the nearest tenth.
Amount of chemical A mixed in medicine = 9.357 g
Rounding to nearest tenth = 9.4 grams
Amount of chemical B mixed in medicine = 12.082 g
Rounding to nearest tenth = 12.1 grams
Amount of chemical C mixed in medicine = 7.502 g
Rounding to nearest tenth = 7.5 grams
Answer:
44.55
Step-by-step explanation:
9 percent of 495
Answer:
$698
Step-by-step explanation:
Given that :
Principal = $5600
Rate = 4.75%
Time = 3 years
Simple interest = principal * rate * time
Simple interest = $5600 * 0.0475 * 3
simple interest = $798
Step 1:
Set Variables (We will use x & y)
x = years
y = total orangutan population
Step 2:
Set up Equations
784 - 25x = y
817 - 36x = y
Step 3:
Set equations equal to each other & solve
784 - 25x = 817 - 36x
784 = 817 - 11x
-33 = -11x
3 years = x
