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At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.

How many pounds of ground beef will be needed this year if 120 hamburgers are to be made?


30 lb

45 lb

50 lb

55 lb

Respuesta :

Solution would be 30. By dividing 100 by 25 you realize that for every pound of ground beef you get 1 hamburger, in other words, 1/4 the number of burgers is the amount of ground beef. So what's 1/4 of 120 the answer should be 30. 

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Answer:

Option A is correct

30 pounds of ground beef will be needed this year if 120 hamburgers are to be made

Step-by-step explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.

Let x pounds of ground beef will be needed this year if 120 hamburgers are to be made

then by definition of proportion we have;

[tex]\frac{25}{100} =\frac{x}{120}[/tex]

By cross multiply we have;

[tex]25 \cdot 120 = 100x[/tex]

Simplify:

[tex]3000 = 100x[/tex]

Divide both sides by 100 we have;

[tex]30 =x[/tex]

or

x= 30 pounds

Therefore, 30 pounds of ground beef will be needed this year if 120 hamburgers are to be made

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