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3 years ago

(English to algebra) twice K is the same as three times k plus one

Mathematics

2 answers:

ryzh [129]3 years ago

7 0

2k = 3k + 1

BTW k = -1

In-s [12.5K]3 years ago

3 0

2k = 3k + 1

Subtract 3k from both sides

-k = -1

Divide by -1

k = 1

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Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

therefore b = 2g $\Rightarrow$ g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

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iv) using equation ii) and equation iii) in equation i) we can write

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v) g = 0.5 b = 0.5 $\times$ 318 = 159

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