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How many of them signed up for both Chemistry and English? 4
How many of them signed up for Chemistry only? 18
How many of them signed up for English only? 14
Step-by-step explanation:
Word Problem Using Polya's Strategy
Understand the problem.
There are 36 total students. There are three groups of students: students who only signed up for Chemistry, students who only signed up for English, and students who do both. We also know that 22 students signed up for Chemistry, and 18 students signed up for English. We must find the number of students who do both considering that the total of the groups adds up to 36.
Devise a plan.
We could list out the 36 students and then assign to each either Chemistry, English or both until we got the right totals. We could draw a Venn Diagram to show the three types of groups.
Carry out the plan.
Only 22 of the 36 students signed up for Chemistry, subtract.
36 - 22 = 14
The other 14 are the students who signed up for English and both. But 18 students signed up for English, so 4 of these students also signed up for Chemistry.
18 - 14 = 4
Therefore, 4 students signed up for both Chemistry and English.
Solve and Check.
Let’s check our answer with a Venn Diagram. Draw two overlapping circles. Fill in each region. Remember that 4 students do both, so write 4 in the overlap.
Chemistry: 22 - 4 = 18
English: 18 - 4 = 14
18 + 4 + 14 = 36
36 = 36 ✔
Venn diagram word problem:
brainly.ph/question/3898911
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