In a box containing baseballs and golf balls in a ratio of 2:3, if there are 30 baseballs, how many golf balls are in the box?

In a box containing baseballs and golf balls in a ratio of 2:3, if there are 30 baseballs, how many golf balls are in the box?

• A. 18
• B. 20
• C. 36
• D. 45

Answer: (D)

To find the number of golf balls in a box that contains baseballs and golf balls in a ratio of 2:3, we can start by letting the number of baseballs and golf balls be represented in terms of a common variable. Given that the ratio of baseballs to golf balls is 2:3, we can express the number of baseballs as 2x and the number of golf balls as 3x, where x is a common factor. The information tells us that there are 30 baseballs. Therefore, we can set up the equation: 2x = 30. To solve for x, divide both sides of the equation by 2: x = 30 / 2, x = 15. Now that we know the value of x, we can find the number of golf balls by substituting x into the expression for golf balls: Number of golf balls = 3x = 3(15) = 45. Thus, there are 45 golf balls in the box. Using the ratio correctly and understanding how to scale the values based on the common variable x is key to deriving the correct answer. The final answer reflects the proportionate relationship established by the original ratio of baseballs to

To find the number of golf balls in a box that contains baseballs and golf balls in a ratio of 2:3, we can start by letting the number of baseballs and golf balls be represented in terms of a common variable.

Given that the ratio of baseballs to golf balls is 2:3, we can express the number of baseballs as 2x and the number of golf balls as 3x, where x is a common factor. The information tells us that there are 30 baseballs. Therefore, we can set up the equation:

2x = 30.

To solve for x, divide both sides of the equation by 2:

x = 30 / 2,

x = 15.

Now that we know the value of x, we can find the number of golf balls by substituting x into the expression for golf balls:

Number of golf balls = 3x = 3(15) = 45.

Thus, there are 45 golf balls in the box.

Using the ratio correctly and understanding how to scale the values based on the common variable x is key to deriving the correct answer. The final answer reflects the proportionate relationship established by the original ratio of baseballs to