Question

Construct a 3-set Venn diagram using the following information. Title your universe and label the three sets properly. Each of the eight regions should be labeled with its proper quantity.

An order for breakfast consists of coffee, bagel, and salad. Out of the total, which you will determine, there were 39 orders for bagel. There were 55 orders for salad.

(a) The number of orders consisting of coffee, bagel AND salad was 20% of salad orders. (b) The number of orders consisting of bagel AND salad was 1/3 of the bagel orders.

(c) The number of orders for bagel, coffee but not salad was 400% more than the number of orders for bagel- salad, no coffee.

(d) Those who ordered coffee and salad but not bagel numbered 25% of the those who ordered bagel only. [Note: bagel only means “bagel and not coffee and not salad”]

(e) The number of orders for salad only was 280% more than the number of orders for bagel-coffee, not salad. (f) Those who did not order coffee and not bagel and not salad was 30% less than the number of coffee-bagel,

not salad orders.
(g) The number of orders for coffee only was 25% less than the number of bagels only orders. (h) What's the total number of orders?
(i) How many orders were there that had exactly two of the three choices?

Answer 1

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2 1B Consisting cofFce bagel and salad of onders fon basel coffee bot nDk 400 mone than nomben oP onden C) The numben 01 Salad basel-salad . no coffee d) Those oho ondened bagel only coPPee and Salad bol not bogel hum bened ondened bagel only the those who : __2.5 % x -bagel-only Uhene bagel onl 16

e) Thenum ben oonden salad onyas 28e7. mone thun the numben oP ondeno bagel Coffee not Salad 38 ) Those who did nob ondon offee and nobagel and not-sal ad wa) 30 .): Lew-nan the numbe) es than Hhc salad ondensot 10¢ 25% len Han numbe OR bage, only onde», 15x 16 75/ 0.75 X 16

2 h) The loial numben。p onder ΟΛ ニall onde + numben of ondenづcoffee Salad E. basel 37 + 34+ 55 -21-15-13 + l 93 93+7 ワ100