Question

The total weight of 4 dictionary and 1079 exercise books is 75 kg .if each exercise book weighs 68g what is the weight of each dictionary

Answer 1

Step-by-step explanation:

total weight = 75 kg = 75000g

since, 1 kg = 1000g

weight of 1 excercise book = 68g

weight of 1079 excercise book = 68 * 1079 = 73372g

so, weight of 4 dictionary = 75000- 73372 = 1628g

therefore, weight of 4 dictionary = 1628/ 4 = 407g

hence the weight of 1 dictionary is 407 grams

Answer 2

We know that the TOTAL weight of 4 dictionaries and 1079 exercise books is 75g.

Let's take the weight of each dictionary as 'x' and the weight of each exercise book as 'y'.

Later if we read, we know that the weight of each exercise book is 68g.

Now notice one thing, the total weight is in kg and the weight given is g.

We now know the value of y.

4x + 1079y = 75

4x + 1079(68g) = 75kg

4x + 73372g = 75000g

4x = 75000g - 73372g

4x = 1628g

x = 1628/4

x = 407

The weight of each dictionary is 407 grams.