what is the value of 8.125 ÷3.25 if 8.125÷325 =2.5
Answers
Answer:
let: x= pounds of X
y=pounds of Y
z= pounds of Z
From the problem, we can derive three equations
eq. 1: x+y+z = 204
eq. 2: 3.5x + 3.25y + 4.15z = 204(3.65)
eq. 3: z=1.5x
Using eq. 3, substitute the z’s in the first 2 equations with 1.5x:
eq. 1: x + y + 1.5x = 204
eq. 2: 3.5 + 3.25y + 4.15(1.5x) = 204 (3.65)
Simplify the equations to get:
eq. 1: 2.5x + y = 204
eq. 2: 9.725 + 3.25y = 744.6
Multiply eq. 1 by 3.25 to eliminate y:
eq. 1: 8.125 + 3.25y = 663
Subtract eq. 1 from equation 2:
9.725 + 3.25y = 744.6
-8.125 - 3.25y = -663
You should get 1.6 x = 81
Divide both sides by 1.6, so
x = 50.625
to get y,
plug 50.625 to eq.1
2.5(50.625) + y = 204
y = 204 - 2.5 (50.625)
y = 77.4375
to get z,
use eq. 3:
z = 1.5 (50.625)
z= 75.9375
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Answer:
the value of 8.125 ÷3.25 if 8.125÷325 =2.5