Answer:
<u>1. a. 72/100 = 324/x</u>
<u>72x = 32,400</u>
<u>b. 450 students are in Math 6</u>
<u>2. a. o = 3b</u>
<u>b. o = 3 pounds</u>
<u>3. a. Most popular animals:</u>
<u>A. Dogs - 67%</u>
<u>B. Cats - 20%</u>
<u>C. Other - 8%</u>
<u>D. None - 4%</u>
<u>E. Horses - 1%</u>
<u>b. 20 students</u>
<u>c. If 75 students have cats, the estimate of 250 students isn't correct.</u>
<u>The actual number of students interviewed is 375.</u>
Step-by-step explanation:
1. a. Let's use the following equation to solve the question:
x = Students that are in Math 6
72/100 = 324/x
72 * x = 324 * 100
72x = 32,400
b. Let's solve the equation, as follows:
x = 32,400/72
x = 450
<u>450 students are in Math 6</u>
2. a. The equation is:
o = 0.15 *20b
<u>o = 3b</u>
where, o = weight of oats in pounds and b = number of dog food bags
b. Let's find out the weight of the oats in one dog food bag, using our equation:
o = 0.15 *20b
o = 0.15 *20 * 1
<u>o = 3 pounds</u>
3. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. If 250 students were interviewed, the 8% who answered "other" are:
8% of 250 = 0.08 * 250 = <u>20 students</u>
c. If 75 students have cats, the estimate of 250 students isn't correct.
The 20% of 250 is 50, not 75.
0.2 * 250 = 50
The actual number of students interviewed is:
x = Actual number of students interviewed
75/x = 20/100
20x = 7,500
x = 7,500/20
x = 375
<u>The actual number of students interviewed is 375.</u>
