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

Question

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

Answer 1

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.

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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.