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Bismuth83
At toy store, five types of model cars are available, priced as follows: $15, $25, $35, $45, and $55.

A group of customers visits the store and makes purchases with the following conditions:
- Each customer can buy at least 1 car and at most 3 cars.
- A customer cannot buy more than one of each car type.
- On average, each model car purchased costs $35.
In addition, the group’s total spending is $420.

Based on the above information, select for Maximum the maximum number of possible people in the group and for Minimum the minimum number of possible people in the group.
I have the answer, but it would be great if you could walk us through the solution.
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Minimum:
3 people * 3 different cars = 3(35+45+55) = 405 ___(1)
1 person * 1 car = 15 __ (2)
(1)+(2) =>minimum 4 persons.

Maximum:
12* 35 = 420.
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Minimum:
3 people * 3 different cars = 3(35+45+55) = 405 ___(1)
1 person * 1 car = 15 __ (2)
(1)+(2) =>minimum 4 persons.

Condition : On average, each model car purchased costs $35.

avg. in above is $ 42..
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1. The question asks us to find the limits to the number of possible people in the group.

2. Let’s first analyze the possible car combinations people could’ve bought:
1 model car: $35. The cost is $35.
2 model cars: $25 and $45; $15 and $55. The cost is $70.
3 model cars: $15, $35, and $55; $25, $35, and $45. The cost is $105.

3. For there to be as many people as possible, everyone needs to spend as little as possible - which is buying 1 model car for $35. Likewise, for there to be as few people as possible, everyone needs to spend as much as possible - which is buying 3 model cars for $105.

4. Then, the maximum number of people in the group is equal to \(\frac{420}{35}\) = 12 and the minimum number of people in the group is equal to \(\frac{420}{105}\) = 4.

5. Our answer will be: Maximum - 12 and Minimum - 4.
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KarishmaB how is the minimum 4?

could you please explain in simple. Please
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Bismuth83
At toy store, five types of model cars are available, priced as follows: $15, $25, $35, $45, and $55.

A group of customers visits the store and makes purchases with the following conditions:
- Each customer can buy at least 1 car and at most 3 cars.
- A customer cannot buy more than one of each car type.
- On average, each model car purchased costs $35.
In addition, the group’s total spending is $420.

Based on the above information, select for Maximum the maximum number of possible people in the group and for Minimum the minimum number of possible people in the group.

The group's total spending is $420 and average price of each car is $35.
So 420/35 = 12 cars were bought

Since each customer can purchase at most 3 cars and we want to minimize the number of customers in the group, each person should have bought 3 cars in this case.
We will need 4 people to buy 12 cars - such that each person buys 3 cars.
Each could have bought cars of cost $25, $35 and $45 such that average remains $35.

Select 4 for Minimum

To maximize, let each person buy 1 car of $35. So we could have 12 people buying 12 cars.

Select 12 for Maximum
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