Venn diagrams AWS
Venn diagrams GCSE Mathematics FP6/8 HP6/8/9 1. One Saturday morning Kay serves 84 customers at her café. Her customers buy food or drinks or both. Complete the following Venn diagram knowing that a 2/3 of her customers buy drinks and 75% of her customers buy food. F = customers that buy food D = customers that buy drinks D
F
.......
.......
.......
2. Alyson is arranging her works Christmas meal for 60 people at a local restaurant. All guests must order a main meal and there is the option to add a starter and/or a dessert. • 25 people order a starter, • 39 people order a dessert • 17 people order both a starter and a dessert. (a) Show this information on a Venn diagram. S = people that order a starter D = people that order a dessert D
S
.......
.......
.......
.......
Venn diagrams GCSE Mathematics FP6/8 HP6/8/9 (b) Knowing that the restaurant charges £15 for 1 course, £18 for 2 courses and £20 for 3 courses, find the total cost of the Christmas party.
Higher tier only - 3 overlapping circles. 3.
Guests at Hotel Playa in Malaga Spain are asked if they speak English, French or Spanish. Of the 120 guests: • 78 speak English, 49 speak French and 69 speak Spanish • 40 speak English and Spanish • 11 speak English and French • 33 speak French and Spanish • 8 speak all three languages
(a) Show this information in a Venn diagram
S
E
F
(b)
A guest is chosen at random to dine with the hotel Manager at the Gala dinner. What is the probability that the guest speaks Spanish but not English?
F
.......
.......
.......
2. Alyson is arranging her works Christmas meal for 60 people at a local restaurant. All guests must order a main meal and there is the option to add a starter and/or a dessert. • 25 people order a starter, • 39 people order a dessert • 17 people order both a starter and a dessert. (a) Show this information on a Venn diagram. S = people that order a starter D = people that order a dessert D
S
.......
.......
.......
.......
Venn diagrams GCSE Mathematics FP6/8 HP6/8/9 (b) Knowing that the restaurant charges £15 for 1 course, £18 for 2 courses and £20 for 3 courses, find the total cost of the Christmas party.
Higher tier only - 3 overlapping circles. 3.
Guests at Hotel Playa in Malaga Spain are asked if they speak English, French or Spanish. Of the 120 guests: • 78 speak English, 49 speak French and 69 speak Spanish • 40 speak English and Spanish • 11 speak English and French • 33 speak French and Spanish • 8 speak all three languages
(a) Show this information in a Venn diagram
S
E
F
(b)
A guest is chosen at random to dine with the hotel Manager at the Gala dinner. What is the probability that the guest speaks Spanish but not English?
