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Two worded maths questions. Even if you know one answer it would help! Please also give working out if possible.

Two worded maths questions. Even if you know one answer it would help! Please also-example-1
Two worded maths questions. Even if you know one answer it would help! Please also-example-1
Two worded maths questions. Even if you know one answer it would help! Please also-example-2
User Shawanna
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1 Answer

6 votes

Answer:

  1. 675 litres
  2. 80 mL

Explanation:

1. The total amount of oil in the two tanks at the start is ...

total oil = n + (n +150) + 0 = 2n+150 . . . . litres

The amount of oil in tank C at the end is 1/3 this amount, or

oil in tank C = (total oil)/3 = (2n+150)/3 . . . . litres

The amount pumped into tank C was 500 litres, so we have ...

(2n +150)/3 = 500

2n +150 = 1500 . . . . . . multiply by 3

2n = 1350 . . . . . . . . . . . subtract 150

1350/2 = n = 675 . . . . . divide by the coefficient of n

___

2. Let x represent the amount remaining in container A. Then 4x is the amount in tank B. Before the transfer, the amount in each container was the same, so ...

x +120 = 4x -120 . . . . . A had 120 more than remains; B had 120 less

240 = 3x . . . . . . . . add 120-x

240/3 = x = 80 . . . divide by the coefficient of x

The amount of liquid left in container A is 80 mL.

User Huntley
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