The weight of a brick is 1 kg more than half its weight. Class 7

The weight of a brick is 1 kg more than half its weight. Class 7

Question 1.

The weight of a brick is 1 kg more than half its weight. What is the weight of the brick? Class 7

Solution:

Let weight of the brick be x kg.

So, x = [latex]\frac {x}{2}[/latex] + 1 or 2x = x + 2.

or 2x - x = 2 i.e., x = 2 kg.

Question 2.

One quarter of a number increased by 9 gives the same number. What is the number? Class 7

Solution:

Let the number be x.

So, [latex]\frac {x}{2}[/latex]x + 9 = x or x - [latex]\frac {x}{4}[/latex] = 9.

or [latex]\frac {3x}{9}[/latex] = 9 or x = [latex]\frac{4 \times 9}{3}[/latex] = 12.

Question 3.

Given + 1 = 13, find the values of: Class 7

(a) 8k + 2

(b) 4k

(c) k

(d) 4k - 1

(e) - k - 2

Solution:

4k + 1 = 13. So, k = [latex]\frac {13-1}{4}[/latex] = [latex]\frac {12}{4}[/latex] = 3.

So, (a) 8k + 2 = 8 × 3 + 2 = 26;

(b) 4k = 4 × 3 = 12

(c) k = 3

(d) 4k -1 = 4 × 3 - 1 = 11;

(e) -k - 2 = -3 - 2 = -5.