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IRINA_888 [86]
3 years ago
11

The difference of 1/2 of one number and 2/3 of another number is equal to 2. If the first number were to decrease by 5/6 of it,

and the second number were to increase by 1/6 of it, their sum would be equal to 59. Find the two numbers.
PLZ explain too.
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0
One of the numbers is 60

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Answer:

P = \frac{5}{282} = 0.0177

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

P(golden) =   \frac{N(golden)}{N(total)}

P(golden) = \frac{4}{48} = \frac{1}{12}

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

P(granny) = \frac{N(granny)}{N(total)-1}

P(granny) = \frac{10}{47}

The final probability we want is the product of those two probabilities:

P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177

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