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Andreas93 [3]
3 years ago
6

Sherry purchased a new backpack for her daughter. The backpack was on sale for 20% off the regular price. If Sherry paid $28.80

for the backpack without sales tax, what was the original price?
Mathematics
1 answer:
madreJ [45]3 years ago
6 0


28.80 + .20X = X

.20X = X - 28.80

1/5 = .20

X/5 = X -28.80

X = 5X - 144

Set the new X equal to the original X

28.80 + .20X = 5X - 144

172.8 + .20X = 5X

172.8 = 4.8X

36 = X

36$ is the original price

To check,

28.80 + (.20 x 36) = 36

28.80 + 7.2 = 36

36 = 36

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satela [25.4K]

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[12, 15]

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________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

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