How many ounces of iodine worth 80 cents an ounce must be mixed with 50 ounces of iodine worth 48 cents an ounce so that the mixture can be sold for 60 cents an ounce?

30 ounces of iodine worth 80 cents an ounce

Step-by-step explanation:

Let

x ----> ounces of iodine worth 80 cents an ounce

we know that

The ounces of iodine (x) worth 80 cents an ounce mixed with 50 ounces of iodine worth 48 cents an ounce must be equal to the mixture (x+50) worth 60 cents an ounce

The linear equation that represent this situation is

solve for x

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the answer is d

hope this