Question

2. A downtown auditorium hosts large events. The auditorium can seat600 people at one time. The sponsors of an awards dinner are usingthe auditorium for 450 people. The chef has prepared meals for åof the usual 600 people. The pastry chef has made enough dessertfor of the usual 600 people. The staff has set up of the usual600 chairs. When the guests arrive, will everybody have a placeto sit? Will there be enough meals? Enough dessert? Explain yourmathematical thinking.

Answer 1

The auditorium can seat up to 600 people at a time.

The sponsors of the award dinner will use it for 450 people.

- The chef prepared meals for 3/4 of the usual 600 people, to determine how many meals he prepared, you have to multiply 600 by 3/4

`600\cdot(3)/(4)=(600\cdot3)/(4)=(1800)/(4)=450`

The result indicates that the chef prepared 450 meals, which is enough for the people attending the dinner.

- The pastry chef made desserts for 5/8 of the usual 600 people. To determine how many desserts you have to multiply 600 by 5/8

`600\cdot(5)/(8)=(600\cdot5)/(8)=(3000)/(8)=375`

The pastry chef made 375 desserts, this indicates that there will be not enough desserts for the dinner.

- The staff set up 3/5 of the usual 600 chairs. To determine how many chairs they've set up, you have to multiply 600 by 3/5

`600\cdot(3)/(5)=(600\cdot3)/(5)=(1800)/(5)=360`

The staff has set up 360 chairs, which means that there will be not enough chairs for everyone to sit.