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AysviL [449]
3 years ago
12

Paces tacos sold 280 food items from its mobile unit only tacos $2 each and burritos $3 each where available it took $660 in sal

e how many tacos and how many burritos did it sell
Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

180 tacos and 100 burritos was sold

Step-by-step explanation:

Let <em>t</em><em> </em>represent tacos

Let <em>b</em><em> </em>represent burritos

<em>t</em><em> </em>+ <em>b</em><em> </em>= 280

<em>2t</em><em> </em>+ <em>3b</em><em> </em><em>=</em><em> </em><em>660</em>

From t + b = 280,

t = 280 - b

Substitute t = 280 - b in 2t + 3b = 660

2t + 3b = 660

2(280 - b) + 3b = 660

560 - 2b + 3b = 660

560 + b = 660

b = 660 - 560

b = 100

Substitute b = 100 in t + b = 280

t + b = 280

t + 100 = 280

t = 280 - 100

t = 180

t = tacos = 180

b = burritos = 100

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Answer:

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Step-by-step explanation:

Given that;

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Thus;

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mulitiply through by (-)

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Divide through by 8

= 2t² -  140t - 1

The above expression forms a quadratic equation.

where;

a = 2

b = -140

c = - 1

So, by using the quadratic formula \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}, we have:

= \dfrac{-(-140) \pm \sqrt{(-140)^2-4(2)(-1)}}{2(2)}

= \dfrac{140 \pm \sqrt{19600-(-8)}}{4}

= \dfrac{140 \pm \sqrt{19608}}{4}

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Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

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