A hobby shop has 4 times as manymodel airplanes as model helicopters.The total
number of model airplanesand helicopters is 35. How manymodel airplanes does
the hobby shophave?
Let h = number of helicopters
h + 4h = 35
5h = 35
h = 7
To solve this problem, we need to set up a system of equations based on the given information.
Let's assume that the number of model helicopters is x.
According to the problem, the hobby shop has 4 times as many model airplanes as model helicopters. So the number of model airplanes would be 4x.
The next piece of information is that the total number of model airplanes and helicopters is 35. So we can sum up the number of helicopters and airplanes:
x + 4x = 35
Now, we can simplify the equation:
5x = 35
To solve for x, we divide both sides of the equation by 5:
x = 35/5 = 7
Therefore, the number of model helicopters is 7.
To find the number of model airplanes, we can substitute the value of x into the equation for model airplanes:
4x = 4 * 7 = 28
Therefore, the hobby shop has 28 model airplanes.