Mr. Caldwell buys 3 times as many basketballs as soccer ball, and 3 les that 4 times as many footballs as soccer balls. If he buys 37 balls all together, how many of each does he get?
This is a word problem that my teacher assigned, but I don't understand...
help please ^^
thank you.
Make equations from it.
3B=S
4F-3=S
B+S+F=37
To solve this word problem, let's break it down step by step.
Let's assume the number of soccer balls Mr. Caldwell buys is "x."
According to the problem:
- Mr. Caldwell buys 3 times as many basketballs as soccer balls, so he buys 3x basketballs.
- Mr. Caldwell buys 3 less than 4 times as many footballs as soccer balls, so he buys (4x - 3) footballs.
We know that the total number of balls he buys is 37. Therefore, we can set up the equation:
x + 3x + (4x - 3) = 37
Now we can solve this equation to find the value of x, which represents the number of soccer balls:
8x - 3 = 37
8x = 40
x = 5
Now that we have found the value of x (= 5), we can determine the number of basketballs and footballs Mr. Caldwell buys:
- Soccer balls: x = 5
- Basketball: 3x = 3 * 5 = 15
- Football: 4x - 3 = 4 * 5 - 3 = 17
Therefore, Mr. Caldwell buys 5 soccer balls, 15 basketballs, and 17 footballs.