This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
Answer:
15 (x+y)
Step-by-step explanation:
Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y
Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y
Now add them up
12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)
Answer:
Yes
Step-by-step explanation:
Answer:
The investment firm's total profit is $4,000
Step-by-step explanation:
The Profit from Company A = 11% * $8,000
= 11 * $8,000/100
= $880
The Profit from Company B = 13% * $24,000
= 13 * $24,000/100
= $3,120
The total profit = $880 + $3120
= $4,000
Thus, the investment firm's total profit is $4,000
Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class (
)
Cross multiply
2 * 40 = 5 * A
80 = 5A
Isolate A by dividing 5 to both sides
80/5 = 5A/5
16 = A
If 40 people in the class got B's then 16 people got A's
Hope this helped!
~Just a girl in love with Shawn Mendes
