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mote1985 [20]
4 years ago
15

Lemon drops and jelly beans are mixed to make a 100 pound mix. if the lemon drops cost $1.90 per pound and jelly beans cost $1.2

0 per pound, how many pounds of lemon drops are need to make the mix cost $1.48 per pound. formulate an equation and then solve it to find how many pounds of lemon drops are needed. show all of your work
Mathematics
1 answer:
vladimir1956 [14]4 years ago
4 0

L = lemon drops

J = jelly beans

L +J = 100

L=100-J

1.90L + 1.20J=1.48*100

1.90(100-j) +1.20J =148

190-1.90J+1.20J=148

190-0.7J=148

-0.7J=-42

J = 60

L=100-60 = 40


40 pounds of Lemon Drops are needed

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Step-by-step explanation:

For this cae we can define the random variable X who represent the number of new employees to be hired by the​ airline and we can find the expected value with the following general formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And from the problem we know the following:

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Then replacing in the formula for the expected value we got:

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