In a cafeteria 3/10 of the students are eating salads, and 3/5 are eating sandwiches. There are 20 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?

Respuesta :

We know that 3/10*20=6 students are eating salads.

We also know that 3/5*20=12 students are eating sandwiches.

Assuming each person only eats one thing, there are 20-12-6=2 students eating lunches other than salads or sandwiches.

There are 2 students who are eating lunches other than salads or sandwiches.

Given

In a cafeteria, 3/10 of the students are eating salads, and 3/5 are eating sandwiches.

There are 20 students in the cafeteria.

Ratio and proportion;

Ratio and proportions are said to be faces of the same coin.

When two ratios are equal in value, then they are said to be in proportion.

The number of students who are eating salads.

[tex]\text{Students who are eating salads = Total number of students}\times \text{Ratio of students eating salad } \\\\\text{Students who are eating salads =} 20\times \dfrac{3}{10}\\\\\text{Students who are eating salads} =2\times 3\\\\\text{Students who are eating salads =6}[/tex]

The number of students who are eating a sandwich.

[tex]\rm Students \ who \ are \ eating \ sandwich = Total \ number\ of \students}\times {Ratio \ of \ students\ eating\ sandwich } \\\\Students \ who \ are \ eating \ sandwich =}20\times \dfrac{3}{5}\\\\ Students \ who \ are \ eating \ sandwich } =4\times 3\\\\ Students \ who \ are \ eating \ sandwich =12[/tex]

Therefore,

The number of students is eating lunches other than salads or sandwiches = a Total number of students - students who are eating sandwiches - students eating salad.

The number of students is eating lunches other than salads or sandwiches = 20 - 12 - 6

The number of students is eating lunches other than salads or sandwiches = 8 - 6

The number of students is eating lunches other than salads or sandwiches = 2

Hence, there are 2 students who are eating lunches other than salads or sandwiches.

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