6th Grade Math Textbook, Progress

Visualize yourself in the problem above as you

reread it. List the facts and the question.

Facts: 18 baseball players

20 volleyball players

16 soccer players

1 student plays on all three teams.


^1

3


of the baseball players also play soccer.

4 volleyball players also play soccer.

Question:How many students play only soccer?

To find the number who play both soccer and

baseball, multiply: 


1

3 
^18 6.

Use the Venn diagram and subtract to find

the number in each overlapping region.

6  1  and 4  1 

Then solve for the number who play only soccer.

16 (1 ??) ? soccer only

??

Solve by using a Venn diagram.

0 1. The school paper lists the names of the 18 baseball

players, 20 volleyball players, and 16 soccer players.

One person belongs to all three teams. One third of the

baseball players and 4 of the volleyball players also belong

to the soccer team. How many students play only soccer? 1

Baseball

18

Volleyball

20

??

?

Soccer

16

0 2. There are 26 shops at the minimall. One third

of the 12 shops that provide services also provide

goods. How many shops provide only goods?

0 3. At a buffet table, ham, chicken, and beef were being

served. Of the 200 guests, 70 ate ham, 100 ate chicken,

85 ate beef, 25 ate ham and beef, and 30 ate chicken and

ham. One tenth of the guests ate all three. How many

guests ate only ham?

0 4. While on vacation 50 people could opt to fish, scuba dive,

and/or water ski. Of the group, 35 went fishing, 32 went

scuba diving, 14 tried water skiing, 21 tried both fishing

and scuba diving, 4 tried only water skiing, and 10 did all

three. How many went only fishing? only scuba diving?

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