A toy train has 20 cars- blue, purple and orange. There are 4 times as many blue cars as purple cars. There are 5 times as many orange cars as purple cars. How many of each color are there?
We are having an issue trying to solve for purple...
Let’s say purple is 2 so 4 times 2 is 8 so blue is 8. Then we do 5x2 which is 10. Now we add 2+8+10= 20. So purple is 2 car and blue is 8 cars and orange is 10 cars
To determine the number of each color of the toy train cars, you can set up a system of equations based on the given information.
Let's assume the number of purple cars is "x".
According to the given information:
- The number of blue cars is 4 times the number of purple cars, so it is 4x.
- The number of orange cars is 5 times the number of purple cars, so it is 5x.
The total number of cars in the toy train is 20, so the sum of the blue, purple, and orange cars is equal to 20.
Therefore, we can write the equation:
4x + x + 5x = 20
Combining like terms:
10x = 20
Dividing both sides by 10:
x = 2
So, there are 2 purple cars.
The number of blue cars is 4 times the number of purple cars, which is 4 * 2 = 8.
The number of orange cars is 5 times the number of purple cars, which is 5 * 2 = 10.
Hence, there are 8 blue cars, 2 purple cars, and 10 orange cars in the toy train.