Source: Mathematics For Junior High School I year VII by Marsigit
Chapter I: Integers. Page 25, Number 2
A rocket needs 4 days to go to the moon in which the distance from the earth is 5×〖10〗^5 km. Calculate the distance of the rocket’s journey in 1 day!
Answer:
It is known that a rocket needs 4 days to reach the moon. The distance of the moon from the earth is five hundred thousand. To calculate the rocket’s journey on a day, the distance of the moon from the earth is divided by the days needed. It becomes five hundred thousand kilometers divided by four days. It is equal to one hundred and twenty five thousand.
Chapter II: Fraction. Page 67, Number 4
70% of students of a junior high school present on the Independent Day celebration. If the total number of students is 40, how many students do not participated in the celebration?
Answer:
It is known that the number of total students is 40, assumed it as 100%. 70% students do participate in the celebration. It means 30% of students do not participate in the celebration. The number of students do not participate in the celebration is 30% from 40 students; it is equal to 12 students.
Chapter III: Algebra and Application. Page 129, Number 5
A rice trader buys 40 kg rice for Rp90, 000.00. Then he sells back for Rp2, 700.00 each kilogram. Determine the percentage of his profit.
Answer:
It is known that the price of 40 kilograms is Rp90, 000.00. So the price for each kilogram is Rp90, 000.00 divided by 40 kilograms, it is equal to Rp2, 250.00. The trader sells Rp2, 700.00 each kilogram. The profit is Rp450. 00 for each kilogram. His total profit is Rp450. 00 time 40 kilograms; it is equal to Rp18, 000. 00. The percentage of the profit is from the total profit divided by the buy price then time 100%. It becomes Rp18, 000.00 divided by Rp90, 000.00 then time 100%; it is equal to 20%.
Chapter IV: Linear Equation with One Variable. Page 151, Number 5.
Amir is 6 years older than Anwar. Three years ago, Amir’s age is twice as Anwar’s age. How old are they now?
Answer:
Amir is 6 years older that Anwar. From that state, we can form the equation that x is equal to y plus 6.
Three years ago, Amir’s age is twice as Anwar’s. From that state, we can form the equation that x minus 3 is equal to 2 times y and minus 6. We can substitute the first state into the second state. The equation becomes y plus 3 is equal to 2 times y and minus 6. Subtract each side with y, it is become 3 equals to y minus 6. Add each side with 6, it is become 9 equals to y. We can form that y is equal to 9. Then substitute y equals to 9 into the first equation. It is become x equals to 9 plus 6, it is 15. So Amir’s age is 15 and Anwar’s age is 9.
Chapter I: Integers. Page 25, Number 2
A rocket needs 4 days to go to the moon in which the distance from the earth is 5×〖10〗^5 km. Calculate the distance of the rocket’s journey in 1 day!
Answer:
It is known that a rocket needs 4 days to reach the moon. The distance of the moon from the earth is five hundred thousand. To calculate the rocket’s journey on a day, the distance of the moon from the earth is divided by the days needed. It becomes five hundred thousand kilometers divided by four days. It is equal to one hundred and twenty five thousand.
Chapter II: Fraction. Page 67, Number 4
70% of students of a junior high school present on the Independent Day celebration. If the total number of students is 40, how many students do not participated in the celebration?
Answer:
It is known that the number of total students is 40, assumed it as 100%. 70% students do participate in the celebration. It means 30% of students do not participate in the celebration. The number of students do not participate in the celebration is 30% from 40 students; it is equal to 12 students.
Chapter III: Algebra and Application. Page 129, Number 5
A rice trader buys 40 kg rice for Rp90, 000.00. Then he sells back for Rp2, 700.00 each kilogram. Determine the percentage of his profit.
Answer:
It is known that the price of 40 kilograms is Rp90, 000.00. So the price for each kilogram is Rp90, 000.00 divided by 40 kilograms, it is equal to Rp2, 250.00. The trader sells Rp2, 700.00 each kilogram. The profit is Rp450. 00 for each kilogram. His total profit is Rp450. 00 time 40 kilograms; it is equal to Rp18, 000. 00. The percentage of the profit is from the total profit divided by the buy price then time 100%. It becomes Rp18, 000.00 divided by Rp90, 000.00 then time 100%; it is equal to 20%.
Chapter IV: Linear Equation with One Variable. Page 151, Number 5.
Amir is 6 years older than Anwar. Three years ago, Amir’s age is twice as Anwar’s age. How old are they now?
Answer:
Amir is 6 years older that Anwar. From that state, we can form the equation that x is equal to y plus 6.
Three years ago, Amir’s age is twice as Anwar’s. From that state, we can form the equation that x minus 3 is equal to 2 times y and minus 6. We can substitute the first state into the second state. The equation becomes y plus 3 is equal to 2 times y and minus 6. Subtract each side with y, it is become 3 equals to y minus 6. Add each side with 6, it is become 9 equals to y. We can form that y is equal to 9. Then substitute y equals to 9 into the first equation. It is become x equals to 9 plus 6, it is 15. So Amir’s age is 15 and Anwar’s age is 9.
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