Answer:
Step-by-step explanation:
Answer:
The answer to your question is 32 rose and 8 tulip
Step-by-step explanation:
Data
rose/ 4 = tulip
total number of arrangements = 40
Rose arrangement = R = ?
Tulip arrangement = T = ?
Process
1.- Write equations to solve this problem
R/4 = T
R + T = 40
2.- Solve the system by substitution
R + R/4 = 40
(4R + R) / 4 = 40
4R + R = 4(40)
5R = 160
R = 160 / 5
R = 32
- Find T
32 + T = 40
T = 40 - 32
T = 8
3.- Conclusion
She made 32 rose arrangement and 8 tulip arrangements.
Answer: Dimes= 20, Nickels= 15
Step-by-step explanation:
Since we are looking for the amount of coins, we can use system of equations to solve for the amount of coins.
Equation 1:
0.1x+0.05y=2.75
This equation comes from the total cost. x stands for dimes and y stands for nickels. 0.1 is the worth of a dime and 0.05 is the worth of a nickel.
Equation 2:
x=2y-10
This equation comes from 10 less than twice the number of nickels.
We can use substitution to find x and y.
0.1(2y-10)+0.05y=2.75
0.2y-1+0.05y=2.75
0.25y-1=2.75
0.25y=3.75
y=15
There are 15 nickels.
Now that we have y, we can plug it back into the equation to find x.
x=2(15)-10
x=30-10
x=20
There are 20 dimes.
Answer: A is 40
B is 92.5
C is 27.5
Step-by-step explanation: