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3 years ago

8

Anita and Maria went to the candy store. Maria bought 5 pieces of fudge and 3 pieces ofbubble gum for a total of $5.70. Anita bo

ught 2 pieces of fudge and 10 pieces of bubblegum for a total of $3.60. Determine the cost of 1 piece of bubble gum.

1 answer:

inn [45]3 years ago

8 0

! piece of Bubblegum costs $0.15 One piece of Fudge costs $1.05

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How to do this?

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This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

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So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

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so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
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kvv77 [185]

Discussion

The discriminate is b^2 - 4*a*c

The general equation for a quadratic is ax^2 + bx + c

In this equation's case

a = 1

b= -5

c = - 3

Solve

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25 - (-12)

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37

Note

Since the discriminate is > 0, the roots are real and different. The roots do exist and there are 2 of them.

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