Question

10)BONUSKelll walks into science class and they have 6 hershey kisses and 6 reese cups on a scale that reads82.4 ounces. She wants some chocolate so she eats 2 hersey kisses and 1 reese cup and now thescale reads 63.8 ounces.a) Define your variables and set up a system of equations.

Answer 1

Leah, this is the solution:

Variables:

Let x to represent the weight of one Hershey kiss

Let y to represent the weight of one Reese cup

System of equations:

6x + 6y = 82.4

4x + 5y = 63.8

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Let's multiply the second equation by - 3/2, therefore:

6x + 6y = 82.4

-6x - 15y/2 = -95.7

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-15/2 + 6 = -3/2

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-3y/2 = -13.3

Dividing by -3/2 at both sides:

-3y/2 / -3/2 = -13.3 / -3/2

y = 8.87

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Replacing y in the first equation and solving for x:

6x + 6 * 8.87 = 82.4

6x + 53.22 = 82.4

Subtracting 53.22 at both sides:

6x +53.22 - 53.22= 82.4 - 53.22

6x = 29.18

Dividing by 6 at both sides:

6x/6 = 29.18/6

x = 4.86

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In conclusion, one Hershey kiss weights 4.86 ounces and one Reese cup weights 8.87 ounces.