# A large

A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ]

Result

a =  128
b =  25

#### Solution:  Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

Do you want to calculate least common multiple two or more numbers? Do you want to calculate greatest common divisor two or more numbers? Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

## Next similar examples:

1. Wind drift The plane flies at 860 km/h, passing distance 3000 kilometers with the wind and once again against the wind for 6 h 59 min. What is the wind speed?
2. Theorem prove We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
3. Journey 5 A man has to do a journey of 84km in 3 hours. He travels the first 30km at 20km/hr. At what rate must he travel the remaining distance to complete his journey on time?
4. Speedometer The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error?
5. Sum of two primes Christian Goldbach, a mathematician, found out that every even number greater than 2 can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers.
6. AP - simple Determine the first nine elements of sequence if a10 = -1 and d = 4
7. Sequence Find the common ratio of the sequence -3, -1.5, -0.75, -0.375, -0.1875. Ratio write as decimal number rounded to tenth.
8. Line It is true that the lines that do not intersect are parallel?
9. Sequence 2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
10. Ratio 11 Simplify this ratio 10 : 1/4
11. Examination The class is 21 students. How many ways can choose two to examination?
12. Trigonometry Is true equality? ?
13. Teams How many ways can divide 16 players into two teams of 8 member?
14. Three workshops There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
15. Sequence Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
16. Percentage 10 52 shorts and missed 13. Calculate percentage
17. Elimination method Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15