Manhattan 5lb/Ratios

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Question 30:

  • The machine manufactures 20 cans/hr, which implies 40 cans in 2hrs
  • 10 cans/box implies 4 boxes for the 40 cans
  • Maria packs at a rate of 3boxes/hr, (3boxes/60mins)
  • Therefore 1 box would be packed in 20mins, which follows that 4 boxes would be packed in 4*20 = 80 mins
    Option C

Question 22:
Let the woman’s salary = X
Rent = (5/8)X
Food = 1/3 of remainder after rent
remainder = (1-(5/8))X
therefore Food = 1/3(1-5/8)X = 1/3(3/8)X = (1/8)X
Representing the information as an equation
(5/8)X +(1/8)X + $40 = X
multiply through by 8
5X + X + $320= 8X
Collecting like-terms:
2X = $320
X = $160
Option A

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(1) Cans manufactured/ hour = 20 cans
Therefore, cans manufactured in 2 hours = 40 cans (20*2)

(2) Cans packed/ box = 10 cans/box
And boxes packed by Maria in 1 hour = 3 boxes
(Minutes for packing 1 box = 20 minutes) (60 minutes/3 boxes)
Therefore, cans packed in 1 hour = 30 cans (10*3)

Cans remaining = 10 cans (Total Cans - Cans packed in 1 hour)
Thus, 1 box takes 20 minutes, Therefore, 60 minutes +20 minutes = 80 minutes

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