Chapters

## Exercise 1

A water pitcher weighs 0.64 kg when empty and 1.728 kg when filled with water. How much does the water weigh?

## Exercise 2

A cyclist has travelled 145.8 km in the first stage of a race, 136.65 km in the second stage and 162.62 km in the third.

How many kilometers must the cyclist still complete if the entire race is 1000 km in length?

## Exercise 3

In a well filled with water, 184.5 litres are removed followed by 128.75 litres and finally 84.5 litres. After these withdrawls, there are 160 litres in the well. How much water did the well originally have?

## Exercise 4

There are 240 boxes with 25 bags of coffee each. If each bag weighs 0.62 kg, what is the total weight of all the coffee?

## Exercise 5

Knowing that 2.077 m³ air weighs 2.7 kg, calculate how much 1 m³ of air weighs.

## Exercise 6

Eva is on a diet which states that she cannot consume more than 600 calories in one meal.

Yesterday she had lunch: 125 g of bread, 140 g of asparagus, 45 g of cheese and an apple of 130 g.

If 1 g of bread has 3.3 calories, 1 g of asparagus, 0.32, 1 g of cheese, 1.2, and 1 g of an apple 0.52.

Did Eva follow her diet?

## Solution of exercise 1

A water pitcher weighs 0.64 kg when empty and 1.728 kg when filled with water. How much does the water weigh?

## Solution of exercise 2

A cyclist has travelled 145.8 km in the first stage of a race, 136.65 km in the second stage and 162.62 km in the third.

How many kilometers must the cyclist still complete if the entire race is 1,000 km in length?

## Solution of exercise 3

In a well filled with water, 184.5 litres are removed followed by 128.75 litres and finally 84.5 litres. After these withdrawls, there are 160 litres in the well. How much water did the well originally have?

184.5 + 128.75 + 84.5 + 160 = 557.75 l

## Solution of exercise 4

There are 240 boxes with 25 bags of coffee each. If each bag weighs 0.62 kg, what is the total weight of all the coffee?

25 · 0.62 = 15.5 kg

15.5 · 240 = 3,720 kg of coffee

## Solution of exercise 5

Knowing that 2.077 m³ air weighs 2.7 kg, calculate how much 1 m³ of air weighs.

## Solution of exercise 6

Eva is on a diet which states that she cannot consume more than 600 calories in one meal.

Yesterday she had lunch: 125 g of bread, 140 g of asparagus, 45 g of cheese and an apple of 130 g.

If 1 g of bread has 3.3 calories, 1 g of asparagus, 0.32, 1 g of cheese, 1.2, and 1 g of an apple 0.52.

Did Eva follow her diet?

125 · 3.3 + 140 · 0.32 + 45 · 1.2 + 130 · 0.52 =

= 412.5 + 44.8 + 54 + 67.6 = 578.9 calories

578.9 < 600. Yes.

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