II. Translate Each Problem Into Mathematical Equation Then S…

II. Translate each problem into Mathematical equation then solve. Write your solution on the space
provided. (5 points each)
11-15. I am 24 years old. My age is 2 less than twice my sister’s age. How old is my sister?
16-20. Eric is a biker, he travels at an average span of 15km per hour. How long will it take him to travel
135 km if he continues at this speed?​

Answer:

11-15. I am 24 years old. My age is 2 less than twice my sister’s age. How old is my sister?

Let s = sister’s age

Equation will be:

2s – 2 = 24

2s = 24 + 2

2s = 26 (then divide both sides by 2)

s = 13

Hence, her sister’s age is 13

To check, given we find x = 13

2s – 2 = 24

2(13) – 2 = 24

26 – 2 = 24

24 = 24

16-20. Eric is a biker, he travels at an average span of 15km per hour. How long will it take him to travel

135 km if he continues at this speed?

Time = Distance ÷ speed

Time = 135 km ÷ 15kmh

Time = 9 hours

It will take Eric 9 hours to travel 135 km at a speed of 15kmh.

Don’t forget to double check. Hope this helps 🙂