Jacob is seling 100 pieces of shirts of which 35 pieces are black and the rest are white. What is the ratio of black to white shirts?

Jacob is selling 100 pieces of shirts, with 35 black shirts and the rest being white shirts. To find the ratio of black to white shirts, we follow these steps:

1. Total number of shirts = 100
2. Number of black shirts = 35
3. Number of white shirts = 100 - 35 = 65

Now, the ratio of black shirts to white shirts is:

\[
\text{Ratio of black to white shirts} = \frac{35}{65}
\]

Simplifying the ratio by dividing both terms by their greatest common divisor (GCD), which is 5:

\[
\frac{35}{65} = \frac{7}{13}
\]

Thus, the ratio of black to white shirts is **7:13**.

Would you like more details or have any questions?

Here are 5 related questions:
1. If Jacob sold 50 black shirts, what would the new ratio be?
2. What is the percentage of black shirts out of the total shirts?
3. If 10 more white shirts are added, what will the new ratio of black to white shirts be?
4. How would the ratio change if Jacob sold 15 white shirts?
5. If Jacob wants a 1:1 ratio of black to white shirts, how many more black shirts does he need?

**Tip:** Always simplify ratios by finding the greatest common divisor for cleaner results!

Jacob is selling 100 pieces of shirts of which 35 pieces are black and the rest are white. What is the ratio of black to white shirts?

Learn how to find and simplify the ratio of black to white shirts with a step-by-step solution. This problem covers key mathematical concepts like ratios, proportions, and the use of the Greatest Common Divisor (GCD) for simplification. Perfect for students in Grades 6-8.

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