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Algebra, STD1 EQ-Bank 4 MC

A preschool has 20 bikes in total for the children to use, made up of bicycles and tricycles.

Each bicycle has 2 wheels and each tricycle has 3 wheels. Altogether, there is a total of 46 wheels.

Let  \(b\) = number of bicycles and  \(t\) = number of tricycles.

Which pair of equations correctly represents this situation?

  1. \(b+t=20\)  and  \(2b+3t=46\)
  2. \(b+t=46\)  and  \(2b+3t=20\)
  3. \(b+t=20\)  and  \(3b+2t=46\)
  4. \(b+t=46\)  and  \(3b+2t=20\)
Show Answers Only

\(A\)

Show Worked Solution

\(b+t=20-\text{Eliminate B and D.}\)

\(\text{Total wheels on bicycles} = 2b\)

\(\text{Total wheels on tricycles} = 3t\)

\(\text{Total wheels} = 46\ \ \Rightarrow\ \ 2b+3t=46\)

\(\Rightarrow A\)

Filed Under: Simultaneous Linear Equations Tagged With: Band 4, smc-6839-20-Other SE Applications

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