chester builds and collects models of boats and planes. He has 22 models altogether. Chester has 8 more planes than he does boats. How many of each kind of model does he have?
2 kinds of models, boats and planes. You don't know how many models he has of each so it would be:
2x
He has 8 more than of the others
2x + 8
22 total
2x + 8 = 22
2x = 14 (subtract 8)
x = 7 (boats)
Since he has 8 more planes
x + 8 = planes
(7) + 8 = 15
15 planes; 7 boats
To determine how many boats and planes Chester has, we can set up a system of equations based on the given information.
Let's assume that Chester has "x" boats. Therefore, the number of planes he has will be "x + 8" since he has 8 more planes than boats.
According to the problem, Chester has a total of 22 models, which means the sum of the number of boats and planes is equal to 22.
So, we can write the equation: x + (x + 8) = 22.
Simplifying the equation, we get: 2x + 8 = 22.
Now, we can solve for "x" by subtracting 8 from both sides of the equation: 2x = 22 - 8, which gives us 2x = 14.
To isolate "x," divide both sides of the equation by 2: x = 14/2, yielding x = 7.
Therefore, Chester has 7 boats and (7 + 8) = 15 planes.