Question
In a box of beads 3/5, of beads are blue and the rest are red the box contain 120 beads how many red beads are there
There are some t shirts on the shelves of a clothes shop 3/8 of t shirts are white and the rest are yellow there are 45 yellow t shirts how many t shirts are there on the shelves
There are some t shirts on the shelves of a clothes shop 3/8 of t shirts are white and the rest are yellow there are 45 yellow t shirts how many t shirts are there on the shelves
Answers
GPT-4o mini
Let's solve each problem step by step.
### Problem 1: Beads
1. **Total number of beads** = 120
2. **Fraction of beads that are blue** = \( \frac{3}{5} \)
To find the number of blue beads:
\[
\text{Number of blue beads} = \left( \frac{3}{5} \right) \times 120 = \frac{3 \times 120}{5} = \frac{360}{5} = 72
\]
3. **Number of red beads** = Total beads - Number of blue beads
\[
\text{Number of red beads} = 120 - 72 = 48
\]
### Answer for Problem 1:
There are **48 red beads**.
---
### Problem 2: T-shirts
1. **Fraction of t-shirts that are white** = \( \frac{3}{8} \)
2. **Number of yellow t-shirts** = 45
This means that the fraction of t-shirts that are yellow is:
\[
\text{Fraction of yellow t-shirts} = 1 - \frac{3}{8} = \frac{5}{8}
\]
3. Let's denote the total number of t-shirts as \( T \).
From the yellow t-shirts, we know:
\[
\frac{5}{8} T = 45
\]
To find \( T \), multiply both sides by \( \frac{8}{5} \):
\[
T = 45 \times \frac{8}{5} = 45 \times 1.6 = 72
\]
### Answer for Problem 2:
There are **72 t-shirts** on the shelves.
### Problem 1: Beads
1. **Total number of beads** = 120
2. **Fraction of beads that are blue** = \( \frac{3}{5} \)
To find the number of blue beads:
\[
\text{Number of blue beads} = \left( \frac{3}{5} \right) \times 120 = \frac{3 \times 120}{5} = \frac{360}{5} = 72
\]
3. **Number of red beads** = Total beads - Number of blue beads
\[
\text{Number of red beads} = 120 - 72 = 48
\]
### Answer for Problem 1:
There are **48 red beads**.
---
### Problem 2: T-shirts
1. **Fraction of t-shirts that are white** = \( \frac{3}{8} \)
2. **Number of yellow t-shirts** = 45
This means that the fraction of t-shirts that are yellow is:
\[
\text{Fraction of yellow t-shirts} = 1 - \frac{3}{8} = \frac{5}{8}
\]
3. Let's denote the total number of t-shirts as \( T \).
From the yellow t-shirts, we know:
\[
\frac{5}{8} T = 45
\]
To find \( T \), multiply both sides by \( \frac{8}{5} \):
\[
T = 45 \times \frac{8}{5} = 45 \times 1.6 = 72
\]
### Answer for Problem 2:
There are **72 t-shirts** on the shelves.