If the ratio of the number of apples to oranges is 7:3 and there are 42 apples,

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Question: If the ratio of the number of apples to oranges is 7:3 and there are 42 apples, how many oranges are there?

Options:

Correct Answer: 18

Solution:

Let apples = 7x and oranges = 3x. Given 7x = 42, x = 6. Therefore, oranges = 3x = 3*6 = 18.

If the ratio of the number of apples to oranges is 7:3 and there are 42 apples, how many oranges are there?

If the ratio of the number of apples to oranges is 7:3 and there are 42 apples, how many oranges are there?

Step 1: Understand the ratio of apples to oranges, which is 7:3.
Step 2: Let the number of apples be represented as 7x and the number of oranges as 3x.
Step 3: We know there are 42 apples, so we set up the equation 7x = 42.
Step 4: Solve for x by dividing both sides of the equation by 7. This gives us x = 6.
Step 5: Now, to find the number of oranges, we use the expression for oranges, which is 3x.
Step 6: Substitute x = 6 into the expression for oranges: 3 * 6 = 18.
Step 7: Therefore, there are 18 oranges.

Ratio and Proportion – Understanding how to set up and solve problems involving ratios and proportions.
Algebraic Manipulation – Using algebra to solve for unknowns in equations derived from word problems.