Answer:
27 purple marbles
Step-by-step explanation:
Let p = purple marbles
r= red marbles
p = 5r-8
p+r = 34
Replace p in the second equation with 5r-8 from the first equation
p+r = 34
5r-8 +r = 34
Combine like terms
6r -8 = 34
Add 8 to each side
6r-8+8 = 34+8
6r = 42
Divide each side by 6
6r/6 = 42/6
r= 7
We want to find p
p+r = 34
p+7 = 34
Subtract 7 from each side
p+7-7 = 34-7
p =27
Midpoint formula : (x1 + x2)/2, (y1 + y2)/2
(10,2)...x1 = 10 and y1 = 2
(-4,-3)...x2 = -4 and y2 = -3
now we sub and solve
m = (10 - 4) / 2, (2 - 3) / 2
m = (6/2, -1/2)
m = (3,-1/2)...ur midpoint
the value of y = -1/2 <==
Let us assume last year the price of the item = $x.
After increase in price by 15% the new price = x + 15% of x = x+ 0.15x = 1.15x.
There is a 25% discount for employee.
25% of 1.15x = 0.25 × 1.15x = 0.2875 x.
Price after discount = 1.15x - 0.2875 x = 0.8625x.
The employee pays $172.50.
Therefore,
0.8625x = 172.50.
Dividing both sides by 0.08625.
<h3>x=200.</h3><h3>Therefore, last year the price was $200.</h3>