Answer:
w = 18 is the solution
The equation for this problem is 6w - 28 + w = 98
w stands for width
Step-by-step explanation:
7x - 28 = 98 Collect like terms
7w = 98 +28 Move the constant to the right hand side and change its sign
7w = 126 Add the numbers
w = 18 Divide both sides of the equation by 7
<h3 />
Let the price of paint be x and the price of brush be y
8x + 3y = 152.5 ------------ (1)
6x + 2y = 113 --------------- (2)
(1) x 2 :
16x + 6y =305 -------------(1a)
(2) x (3) :
18x + 6y = 339 -------------(2a)
(2a) - (1a) :
2x = 34
x = 17 ---------- sub into (2)
6(17) + 2y = 113
102 + 2y = 113
2y = 113 - 102
2y = 11
y = 5.5
x = $17, y = $5.50
Each gallon of paint costs $17 and each brush costs $5.50
<h3>
Answer: 800</h3>
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Work Shown:
(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)
160/500 = x/2500
x = 2500*(160/500)
x = 800
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Another approach:
160/500 = 0.32 = 32% of the first group has blue eyes
Assuming this percentage is the same for any group, then,
32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.
130 because 2 is less than 5
