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If 2/5 ton of concrete covers 5/6 of a wall, how much concrete is required to cover the entire wall

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Note¹: One integer is 6/6 of the wall
Note²: Make the rule of three simple

ton __ Coverage

(2)/(5) ---------------
(5)/(6)
y ---------------
(6)/(6)

Solving: (directly proportional)


( (2)/(5) )/(y)= ( (5)/(6) )/( (6)/(6) )

Product of extremes equals product of means


(5)/(6) *y = (2)/(5) * (6)/(6)


(5y)/(6) = (12)/(30)

Product of extremes equals product of means


5y*30 = 6*12

150y = 72

y = (72)/(150) (/6)/(/6) \to \boxed{\boxed{y = (12)/(25) }}\end{array}}\qquad\quad\checkmark

Answer:

(12)/(25)\:\textbf{ton\:of\:concrete} or 0.48 ton of concrete

User Jeremy Fortune
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