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If the ratio of students packing a lunch to those buying lunch is 2:9, then the number of students buying lunch is ______ times the number of students packing a lunch.

Verified Answer :

9÷2=4.5

the number of students buying lunch is 4.5 times the number of students packing a lunch

Answer:

4.5 times

Step-by-step explanation:

Given : The ratio of students packing a lunch to those buying lunch is 2:9

To  Find :  The number of students buying lunch is ______ times the number of students packing a lunch.

Solution :

let x denotes the no. of students packing a lunch

let y denotes the no. of students buying a lunch

Since the ratio is 2:9


⇒\(\frac{2}{9} = \frac{x}{y}\)


⇒\(2y = 9x\)


⇒\(y = \frac{9}{2} x\)


⇒\(y =4.5 x\)


Since y denotes the no. of students buying a lunch and x denotes the no. of students packing a lunch


Thus , The number of students buying lunch is 4.5 times the number of students packing a lunch.