Respuesta :
Answer:
Step-by-step explanation:
For the first part of this problem, you want to find the least common factor of the three numbers provided.
You can do it the slow way or the fast way.
The slow way is listing the factors of each number until you find the smallest number that all 3 lists have in common. E.g.,
8, 16, 24, ... 600
12, 24, 36, ... 600
25, 50, 75, ... 600
Or, the fast way involves breaking each number into prime factors, then selecting each factor that appears once or more. If a factor appears more than once, select that factor in the instance in which it has the highest exponent. Then, multiply the factors you selected.
So,
8 = 2 * 2 * 2 or 2^3
12 = 2 * 2 * 3 or 2^2 * 3
25 = 5 * 5 or 5^2
So, our LCF = 2^3 * 3 * 5^2 = 8 * 3 * 25 = 600.
Note, even though 2 appears in both 8 & 12, I selected 2^3 because 12 can gain a two faster than 8 can lose a two.
In order to have 600 white, silver, and gold candles, Bilal must buy
600/25 or 24 packets of white candles
600/12 or 50 packets of silver candles
600/8 or 75 packets of gold candles
With 600 of each candle, he can make 600 sets of candles.
