Name: Fractions: Addition and Subtraction
Uploaded: 2019-07-19
Duration: 4 min 21 s
Description: We know about addition, subtraction and fractions. In this video, let's learn how to add and subtract like and unlike fractions. Come, let's explore.

Question

\frac{2}{3}

of the beads in a box are red,

\frac{1}{4}

are yellow and the rest are blue. There are

35

more red beads than blue beads. How many beads are there altogether?

Accepted Answer

Let the total amount of beads be $1$ .

Then, the number of red beads $= \frac{2}{3} \times 1 = \frac{2}{3}$

The number of yellow beads $= \frac{1}{4} \times 1 = \frac{1}{4}$

The number of blue beads $= 1 - (\frac{2}{3} + \frac{1}{4})$

$= 1 - (\frac{8 + 3}{12})$

$= 1 - \frac{11}{12}$

$= \frac{12 - 11}{12} = \frac{1}{12}$

Now according to the question,

$\frac{2}{3} - \frac{1}{12} = 35$

$\Rightarrow \frac{8 - 1}{12} = 35$

$\Rightarrow \frac{7}{12} = 35$

$\Rightarrow 1 = 35 \times \frac{12}{7} = 5 \times 12 = 60$

Total amount of beads is represented by $1$ and $1 = 60$

Therefore, there are $60$ beads altogether.

$\frac{2}{3}$ of the beads in a box are red, $\frac{1}{4}$ are yellow and the rest are blue. There are $35$ more red beads than blue beads. How many beads are there altogether?

Important Questions on Fractional and Rational Numbers

Learn and Prepare for any exam you want !

23 of the beads in a box are red, 14 are yellow and the rest are blue. There are 35 more red beads than blue beads. How many beads are there altogether?

Important Questions on Fractional and Rational Numbers

Learn and Prepare for any exam you want !

$\frac{2}{3}$ of the beads in a box are red, $\frac{1}{4}$ are yellow and the rest are blue. There are $35$ more red beads than blue beads. How many beads are there altogether?