katewalls99
Answered

if the ratio of tourist to locals is 3:4 and there are 120 tourists at the opening of a new museum, how many locals are in attendance?

Answer :

sophiewood150

Answer:

160

Step-by-step explanation:

120 is three parts therefore one part must be 40

40*4 is 160

To solve such problems we must know about Ratio.

Ratio

A ratio shows us the number of times a number contains another number.

The attendance of locals at the opening of the new museum is 160.

Given to us

  • the ratio of tourist to locals is 3:4
  • there are 120 tourists at the opening of a new museum,

Solution

As given in the question that the ratio is already given,

therefore,

1.  The ratio of tourists to locals

the ratio of tourists to locals is 3:4.

[tex]\rm{\dfrac{Tourist}{locals}=\dfrac{3}{4}[/tex]

2.  Attendance of locals at the opening

here are 120 tourists at the opening of a new museum,

We have already discussed the ratio of them, therefore, following the same,

[tex]\rm{\dfrac{Tourist}{locals}=\dfrac{3}{4}[/tex]

[tex]\rm{\dfrac{120}{locals}=\dfrac{3}{4}[/tex]

[tex]\rm{\dfrac{120\times 4}{3}=locals[/tex]

[tex]\rm{locals = \d160[/tex]

Hence, the attendance of locals at the opening of the new museum is 160.

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