Among 120 visitors to Disneyland, 74 stayed for at least 3 hours, 86 spent at least $20, 64 went on the Mat-terhorn ride, 60 stayed for at least 3 hours and spent atleast $20, 52 stayed for at least 3 hours and went on theMatterhorn ride, 54 spent at least $20 and went on theMatterhorn ride, and 48 stayed for at least 3 hours, spentat least $20, and went on the Matterhorn ride. Drawing aVenn diagram with three circles (like that of Figure 4) andfilling in the numbers associated with the various regions,find how many of the 120 visitors to Disneyland(a) stayed for at least 3 hours, spent at least $20, but didnot go on the Matterhorn ride;(b) went on the Matterhorn ride, but stayed less than 3hours and spent less than $20;(c) stayed less than 3 hours, spent at least $20, but did notgo on the Matterhorn ride.

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A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: There are 10 doors into the school and eight staircases from the first floor to the second. How many…

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Q: The Jazz Band at City College has 33 students, and the Traveling Band has 42 students. Eight…

A: It is given that Jazz Band (J) =  33Travelling Band (T) =  42

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

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Q: A time traveler can take 4 books with him, and he has 54 books to choose from. How many different…

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Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

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A:

Q: A merchant surveyed 380 people to determine the way they learned about an upcoming sale. The survey…

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Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

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Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

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Q: Suppose you’re thinking of attending Columbia, Hunter, or NYU. To decide, you want to visit all…

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Q: There is a group of 8 instructors and 13 new students at a university sports match. They wish to…

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Q: There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are…

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Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

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Q: Of the 30 students in my class, 11 practice taekwondo, 11 play piano, and 20 take lessons at MS. 4…

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A:

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A:

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A:

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.