Let's call the younger student's age A and the older student's age B. The teacher's age will be T.
B = 2A
T = 5B
T+5 = 5(A+5)
Simplify the last equation.
T+5 = 5A+25
T = 5A+20
Now we have two equations solved for T, so we can set them equal to each other.
5B = 5A + 20
We can plug 2A in for B
5(2A) = 5A + 20
10A = 5A + 20
5A = 20
A = 4
To find T, we plug 4 in for A in T = 5A + 20
T = 5(4) + 20
T = 40
The answer is 40 years old.
Answer:
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
a) 2x + 3x + 9
b) 2x + 3 + 9
c) 2x + 3x + 9x
d) 2 + 3x + 9
Answer:
a) 2x + 3x + 9
Step-by-step explanation:
1\5 pound of trail mix because 1 pound divided to\by 5 people is 1\5.
So, each person gets 1\5 pound trail mix
The given equation is:
x+
Multiplying both sides by 2 we have:
2x + 6x − 4 = 12 [ multiplication property of equality]
Combining like terms:
8x-4=12
Adding 4 both sides
8x=16.[Addition property of equality]
Dividing both sides by 8:
x=2 [Division property of equality.]
The correct option in which the equation is solved are : B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
