Find the number of each kind of object in the collection
Curt has 12 models in all. Three of the models are airplanes. Curt has 5 more models of cars than boats. How many models of cars does Curt have?
a + c + b =12
3 = a
b + 5 = c
Substitute into the original equation:
3 + b + 5 + b = 12
Solve for b to find the number of boats.
Add 5 to the number of boats to find the number of cars.
To find the number of models of cars Curt has, we need to set up an equation based on the information given. Let's break down the given information:
Curt has 12 models in total.
Three of the models are airplanes.
Curt has 5 more models of cars than boats.
Let's assume the number of boats Curt has is B. Therefore, the number of cars he has would be B + 5.
Now let's sum up the number of models:
Number of airplanes + Number of cars + Number of boats = Total number of models
Given that there are 12 models in total, we can set up the equation like this:
3 + (B + 5) + B = 12
Now we can solve for B, which represents the number of boats Curt has.
Combine like terms in the equation:
3 + B + 5 + B = 12
2B + 8 = 12
Subtract 8 from both sides of the equation:
2B = 4
Divide both sides of the equation by 2:
B = 2
Therefore, Curt has 2 models of boats.
Now we can find the number of cars Curt has by substituting B = 2 into the equation B + 5:
2 + 5 = 7
Curt has 7 models of cars.
So, the number of models Curt has are as follows:
Airplanes: 3
Cars: 7
Boats: 2