2024 NYJC H1 Q1

2024 NYJC H1 Q1

5 marks

A Japanese restaurant sells three types of rice bowls: Oyakodon, Unadon, Gyudon.

  • The total cost of \(12\) Oyakodon, \(16\) Unadon and \(9\) Gyudon is \$894.31.
  • An Unadon costs twice as much as an Oyakodon.
  • The total cost of \(15\) Unadon is \$154.70 more than the total cost of \(10\) Oyakodon and \(10\) Gyudon.

Write this information as three linear equations, and hence find the cost of each type of rice bowl.[5]

Solution:

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Answer:\(12o+16u+9g=894.31,\ u=2o,\ 15u-10o-10g=154.70\). Oyakodon \(16.67, Unadon \)33.34, Gyudon $17.87.

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