Solve for x.
3x = 6x - 2
Answer (1)
Richard spends 150 , 000 on food.
You can obtain 42 cans of 500 shillings.
Mr. Deus has o n e h u n d re d tw e n t y − f i v e t h o u s an df o u r h u n d re d cattle.
The square root of 4096 is 64 .
The principal needs 780 , 000 shillings to buy textbooks.
Jura can fill 6 complete bottles.
4.65 meters were missed.
The pupil wrote 86 , 241 .
Explanation
Introduction Let's break down each question step by step to make sure we understand everything clearly.
Richard's Food Expenditure Richard's salary is sh. 300,000/=. He spends 2 1 of it on food. So, the amount he spends on food is: 2 1 × 300 , 000 = 150 , 000 Therefore, Richard spends sh. 150,000/= on food.
Number of Cans We have the following notes:
5 notes of Sh. 2000
2 notes of Sh. 5000
1 note of Sh. 1000 The total amount of money is: \(5 \times 2000) + (2 \times 5000) + (1 \times 1000) = 10,000 + 10,000 + 1,000 = 21,000 Now, we want to find out how many cans of 500 shillings can be obtained from this amount. So, we divide the total amount by 500: 500 21 , 000 = 42 Therefore, 42 cans of 500 shillings can be obtained.
Writing the Number in Words Mr. Deus has 125,400 cattle. In words, this number is written as: One hundred twenty-five thousand four hundred.
Square Root Calculation We need to find the square root of 4096, which is 4096 . The result of this operation is 64.
Total Cost of Textbooks The principal needs to buy textbooks for 120 pupils, and each textbook costs Sh. 6500. The total cost is: 120 × 6500 = 780 , 000 Therefore, the principal needs sh. 780,000/= to buy the books for all his pupils.
Number of Bottles Jura has 5 52 liters of water, and he shares it into bottles with a capacity of 1 2 1 = 2 3 liters each. The number of bottles is: 5 52 ÷ 2 3 = 5 52 × 3 2 = 15 104 = 6.9333... Since we can't have a fraction of a bottle, we can fill 6 complete bottles.
Meters Missed The tailor has a piece of garment that measures 5.05 meters, and he needs 9.7 meters for a dress. The amount of meters missed is: 9.7 − 5.05 = 4.65 Therefore, 4.65 meters were missed.
Writing the Number in Figures The pupil wrote 'eighty-six thousand two hundred and forty-one'. In figures, this is written as 86,241.
Final Answers Here are the final answers:
Richard spends sh. 150,000/= on food.
42 cans of 500 shillings can be obtained.
Mr. Deus has one hundred twenty-five thousand four hundred cattle.
The square root of 4096 is 64.
The principal needs sh. 780,000/= to buy the textbooks.
Jura can fill 6 complete bottles.
4.65 meters were missed.
The pupil wrote 86,241.
Examples
These types of math problems are very common in everyday life. For example, calculating how much money is spent on groceries, determining how many items can be bought with a certain amount of money, understanding large numbers, calculating areas and volumes, and figuring out how much material is needed for a project. Understanding these concepts helps in managing personal finances, making informed purchasing decisions, and solving practical problems at home and work. Being able to perform these calculations accurately is a valuable life skill.
