Puzzles

[alfie_30]

Hi, still stuck on a couple.
1. In a game of basketball, the net is mounted five feet above the floor plus half it's own height. Therefore, how high is the net above the floor?

2. In a school of 140 pupils, every pupil takes at least one of the languages French, German and Spanish. 90 pupils take French, 70 take German, 75 take Spanish, 35 take French and German, 30 take French and Spanish and 40 take German and Spanish. How many take Spanish only?
Many thanks in advance.

[fiction-factory]

10 feet

[fiction-factory]

spanish only = 10

[fiction-factory]

let me get a pen to check the 10 for spanish

[fiction-factory]

Spanish only = 15

[fiction-factory]

Do a Venn diagram

35 do just French
5 do just German
15 do just spanish
10 do all 3
25 do just french and spanish (plus the 10 who do all three)
20 do just French and German (plus the 10 who do all three)
30 do just German and Spanish (plus the 10 who do all three)

[fiction-factory]

Thanks for Best Answer.
I like a Venn Diagram and see that Venn Diagrams and set notation are back on the GCSE Maths syllabus