# Three excursions

Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participants of the second excursion also attended the third. Four pupils participated at all three excursions. How many pupils were in the 9A class?

Correct result:

n =  29

#### Solution:

$n_{1}=15-(8+7-4)=4 \ \\ n_{2}=15 - (7+5-4)=7 \ \\ n_{3}=15 - (8+5-4)=6 \ \\ \ \\ \ \\ n=n_{1}+n_{2}+n_{3}+(7+8+5-3 \cdot \ 4) + 4=4+7+6+(7+8+5-3 \cdot \ 4) + 4=29$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

## Next similar math problems:

• Current in the conductor
Calculate the current in the conductor (in mA) if it is connected to a 4.5 V voltage source and its resistance is 20 (ohm).
• The bulb
What is the resistance of a filament lamp when it is connected to a 9V battery and has a current of 120 mA?
• Seasonal sale
The bike became cheaper on the seasonal sale by 22%, which is 88 euros. At what price is it sold now?
• Clothes
CZK 2,400 cost clothes, a sweater by 150% than a T-shirt, trousers 2x more than a sweater, a jacket as a sweater and trousers together. What did the individual clothes cost?
• Two shops
In two different shops, the same skis had the same price. In the first, however, they first became more expensive by 20% and then cheaper by 5%. In the second, they were first cheaper by 5% and then more expensive by 30%, so after these adjustments in the
• Tulips
Of the 120 tulips in the garden, 45 are red, 66 are yellow, the rest are brindle. What percentage of tulips in the garden are brindle?
• 14 years
Kája is 14 years old. Mom 44. How many years will mom be 4 times older?
• Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s.
• Pagans
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
• Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s.
• One dice
Calculate the probability of a roll of one dice with the numbers 1, 2, 3, 4, 5, 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An