Student Self Check

Chen’s Work

Work Time

Chen's Work

The problem:

A waiter at a restaurant shares his tips with the busboy in a ratio of 5:2. If the waiter had $45 after sharing his tips, how much did he give the busboy?

Chen says:

“My tape diagram shows that 2 units are equal to the waiter’s $45, because the ratio is 5:2. So each unit represents half of $45, or $22.50. The busboy is represented by 5 units. And $22.50 × 5 is $112.50. So the waiter gave the busboy $112.50.”

  • What mistake did Chen make?
  • Is there a way he could have used a tape diagram to solve the problem correctly? Explain.