There are 35 students in a class who stu dy either art or music, 15 study art. Twice as many students who study art study music. COMPLETE THE VENN DIAGRAM TO SHOW.

Art only

MUSIC ONLY
art and music

Explain how 8tens thousands can be equal to 80 thousands

The question should have read:

There are 35 students in a class who stu dy either art, music or both. 15 study art. Twice as many students who study art study music. COMPLETE THE VENN DIAGRAM TO SHOW.

35 students in all
15 study art
2*15=30 study music

so
35-30=5 study only art
and 15-5=10 study both art and music.
30-10=20 study only music
Check: 20+10+5=35 ok.

To complete the Venn diagram, we need to determine the number of students who study music only and the number of students who study both art and music.

Let's start by filling in the information we already have:
- There are 35 students in total.
- 15 students study art.
- Twice as many students who study art also study music.

From this information, we can determine that there are 15 students who study only art (since there are no students who study only music at this point). Now, let's calculate the number of students who study both art and music.

Since twice as many students who study art also study music, we know that there are 15 students studying art. Therefore, the number of students studying both art and music is 15 * 2 = 30.

Now that we have all the information, we can complete the Venn diagram:

Art only Music only
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V V
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both art and music (30)