N = d - 5
2n/(d + 16) = n/d - 1/3 n/d
2n/(d + 16) = 2/3 n/d Divide by 2n
1 / (d + 16) = 1/3 d
Here's the tricky part.
d + 16 = 3d the two denominators are equal. the numerators are both 1.
16 = 2d
d = 8
so the numerator is d - 5
n = 8 - 5
n = 3
Let's see if it checks out.
n = 3
d = 8
2*3 = 6
8 + 16 = 24
New fraction 6/24 = 1/4
(3/8 - 1/3 ) = 1/8
3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.
For an instance, i stands for the money that you have, and b stands for the money that brother has.
An equation system based on the problem would be
i + b = 42 (equation 1)
i = 3b (equation 2)
Use substitution method to solve the problem
substitute 3b into i in the equation 1
i + b = 42
3b + b = 42
4b = 42
b = 42/4
b = 10.5
substitute the value of b into the equation 1
i = 3b
i = 3(10.5)
i = 31.5
You have $31.5 and your brother has $10.5
Answer:
25% decrease
Step-by-step explanation:
Percent change can be found by doing difference/original
(950,000 - 712,500) / 950,000
= 0.25
There was a 25% decrease in the population
2x + 4 > 8
Step 1: Subtract 4 from both sides.
2x + 4 − 4 > 8 − 4
2x > 4
Step 2: Divide both sides by 2.
2x/2 > 4/2
x > 2
2x − 3 < 5
Step 1: Add 3 to both sides.
2x − 3 + 3 < 5 + 3
2x < 8
Step 2: Divide both sides by 2.
2x/2 < 8/2
x < 4
