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ad-work [718]
3 years ago
14

Complete the steps to find the value of x.

Mathematics
1 answer:
levacccp [35]3 years ago
4 0

Answer:

Step-by-step explanation:

72+7x+24=180

7x+96=180

7x=84

x=12

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A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like alg
tatiyna

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total. If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75. Therefore,

x+45-x+53-x+6=75.

Solve this equation:

104-x=75,

x=104-75,

x=29.

You get that:

  1. 29 students like both subjects;
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The correct choice is D.

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