Algebra Play Class 8 Long Question Answer

Algebra Play Class 8 Long Question Answer

Algebra Play Class 8 Long Question Answer

Question 1.

There are two types of boxes containing mangoes. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in 8 boxes of the smaller type. Each larger box contains 100 mangoes. Find the number of mangoes contained in the smaller box.

Solution:

Let the number of mangoes in each smaller box be x.

Then, number of mangoes in 8 such boxes = 8x.

Therefore, number of mangoes in each larger box = 8x + 4.

As per question, 8x + 4 = 100.

or 8x + 4 - 4 = 100 - 4

or 8x = 96

or [latex]\frac{8x}{3}[/latex] = [latex]\frac{96}{8}[/latex]

or x = 12.

Thus, the number of mangoes in each smaller box is 12.

Question 2.

Solve the following riddle :

I am a number,

Tell my identity!

Take me seven times over

And add a fifty !

To reach a triple century

You still need forty !

Solution:

Let the number be x.

According to the question,

7x + 50 = 3 × 100 - 40

∴ 7x + 50 = 300 - 40.

or 7x + 50 - 50 = 300 - 40 - 50

or 7x = 210

or [latex]\frac{7x}{7}[/latex] = [latex]\frac{210}{7}[/latex]

or x = 30.

Thus, your identity is 30.