# 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. 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?
2. 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?
3. Speedometer
The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error?
4. Boys to girls
The ratio of boys to girls in a party is 3:5 . If 6 more boys arrived and 4 girls left the party, the ratio of boys to girls would be 5:6 . How many are in the party originally?
5. Ratio 11
Simplify this ratio 10 : 1/4
6. Line
It is true that the lines that do not intersect are parallel?
7. Trigonometry
Is true equality? ?
8. Percentage 10
52 shorts and missed 13. Calculate percentage
9. Confectionery
The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
10. Chords
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
11. 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.
12. Pipeline
How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter?
13. 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.
14. Sequence
Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
15. Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1
16. 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?
17. Examination
The class is 21 students. How many ways can choose two to examination?