Fraction Problem: Finding Combined 1/5 and 1/3 of 15 Balls

Question

There are a total of 15 balls in a jar.

15 \frac{1}{5} of the balls are blue and 13 \frac{1}{3} of the balls are red.

How many balls in the jar are either red or blue?

Video Solution

Solution Steps

00:00 Find how many blue and red balls are in the jar?
00:03 The number of balls in relation to the total according to the data
00:07 Multiply the total number of balls by the red portion to find the number of red ones
00:16 This is the number of red balls in the jar
00:22 Use the same method to find the number of blue balls
00:28 This is the number of blue balls
00:41 Now add the numbers of balls to find the total sum
00:46 And this is the solution to the question

Step-by-Step Solution

Let's solve the problem step-by-step:

  • Step 1: Calculate the number of blue balls.

We know that 15\frac{1}{5} of the 15 balls are blue. Thus, the number of blue balls is calculated as:

Number of blue balls=15×15=3\text{Number of blue balls} = \frac{1}{5} \times 15 = 3

  • Step 2: Calculate the number of red balls.

Similarly, 13\frac{1}{3} of the 15 balls are red. So, the number of red balls is:

Number of red balls=13×15=5\text{Number of red balls} = \frac{1}{3} \times 15 = 5

  • Step 3: Find the total number of balls that are either red or blue.

Sum the number of blue balls and the number of red balls:

Total number of red or blue balls=3+5=8\text{Total number of red or blue balls} = 3 + 5 = 8

Therefore, there are a total of 8 balls in the jar that are either red or blue.

Answer

8