2026 TJC P1 Q1

Mdm Wang runs a stall in a food court selling three types of noodles: wonton noodles, fishball noodles and beef noodles. For each bowl of wonton noodles, fishball noodles and beef noodles, she makes a profit of exactly 60 cents, 90 cents and \(\$1.20\) respectively.

On a particular day, Mdm Wang made a total profit of \(\$222.00\), and she earned \(\$72.00\) more in profit from the sale of beef noodles than from wonton noodles. The total number of bowls of noodles sold that day was 4 times the number of bowls of fishball noodles sold that day.

1. Find the number of bowls of wonton noodles, fishball noodles and beef noodles that Mdm Wang sold that day.[3]
2. Due to a system error, all customers who made online payments for wonton and beef noodles on that day were overcharged. Customers were charged \(\$5.50\) instead of the correct price of \(\$4.50\) for a bowl of wonton noodles, and \(\$7.00\) instead of \(\$6.50\) for a bowl of beef noodles. It was found that 1 in 4 bowls of wonton noodles and 1 in 5 bowls of beef noodles were paid for online.
   Find the total amount Mdm Wang had to refund to all affected customers.[1]