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MatroZZZ [7]
3 years ago
7

A local hamburger shop sold a combined total of 445 hamburgers and cheeseburgers on Tuesday. There were 55 fewer cheeseburgers s

old than hamburgers. How many hamburgers were sold on Tuesday?
Mathematics
1 answer:
liberstina [14]3 years ago
4 0
Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.

Set up an equation:
hamburgers + cheeseburgers = total number of burgers

x + (x-55) = 445

solve for x: 
2x - 55 = 445

2x = 445 + 55

2x = 500

x = 500÷2

x = 250

This means 250 hamburgers were sold on Tuesday.

Hope this helps!

-Jabba


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Answer:

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Step-by-step explanation:

Let speed of boat in still water be = x\ ms^{-1}

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Time spent rowing down stream = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s

Speed of boat up stream = \textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}

Distance rowed up stream = \frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m

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We know that,

\textrm{Time spent rowing down stream =Time spent rowing up stream}

So,

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Cross multiplying

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Dividing both sides by 400

\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}

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Adding 60 to both sides.

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Subtracting both sides by x

6x-x=x+70-x

5x=70

Dividing both sides by 5.

\frac{5x}{5}=\frac{70}{5}

∴ x=14

Speed of boat in still water =14\ ms^-1

Time spent rowing down stream =\frac{2400}{14+10}=\frac{2400}{24}=100\ s

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