A downtown auditorium hosts large events. the auditorium can seat 600 people at one time. the sponsors of an awards dinner are using the auditorium for 450 people. the chef has prepared meals for 3/5 of the usual 600 people. the pastry chef has made enough dessert for 5/8 of the usual 600 people. the staff has set up 3/5 of the usual 600 chairs. When the guests arrive will everybody have a place to sit? will there be enough meals? enough dessert? explain your mathematical thinking.

Question

Kaylah Barajas

Mathematics

24 March, 23:00

A downtown auditorium hosts large events. the auditorium can seat 600 people at one time. the sponsors of an awards dinner are using the auditorium for 450 people. the chef has prepared meals for 3/5 of the usual 600 people. the pastry chef has made enough dessert for 5/8 of the usual 600 people. the staff has set up 3/5 of the usual 600 chairs. When the guests arrive will everybody have a place to sit? will there be enough meals? enough dessert? explain your mathematical thinking.

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King Malone · Answer 1

So we know that we only have 450 people coming to the event.

When the guests arrive, will everybody have a place to sit?

Chairs: 0.6 * 600 = 360, not enough since there are still 90 people standing.

Will there be enough meals?

Meals: 0.6 * 600 = 360, not enough since there are 90 people who doesn't have meals.

Enough dessert?

Deserts: 0.625 * 600 = 375, not enough since 75 people left with no desserts.