What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?
1 answer:
For this case we have that by definition, the Greatest Common Factor (GCF) is the largest factor that 2 numbers have in common.
So, we have the following expressions:
We look for the positive integers that divide to 35 and 42 without leaving residue:
42: 1,2,3,6,7,14,21
35: 1,5,7
Thus, the GCF of 42 and 35 is 7
Then, the GCF of the three expressions is:
Answer:
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Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Suppose x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
Multiplying both sides by 100, we get
Dividing both sides by 50, we get
So, the amount invested at 7% is .
The amount invested at 8% is
The amount invested at 9% is
Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.