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Mathematics 8 Online
OpenStudy (mathmath333):

question

OpenStudy (mathmath333):

AT THE BURGER KING :- a famous fast food centre on main street in pune , burger are made only on a automatic burger making machine .The machine continuously makes different sort of burgers by adding different sort of fillings on a common bread .The machine makes the burgers at the rate of 1 burger per half a minute .The various fillings are added to the burgers in the following manner .The 1 st , 5th , 9th .burgers are filled with a chicken patty ; the 2nd, 9th and 16 th ..burger are filled with vegetable patty; the 1st ,5th ,9th .burgers with mushroom patty; and the rest with plain cheese and tomato fillings . the machine makes exactly 660 burgers per day

OpenStudy (mathmath333):

Q 1.) How many burgers per day are made with cheese and tomato as fillings ? a 424 b 236 c 237 d none of these

OpenStudy (math&ing001):

First you need to find the number of burgers filled with chicken patty and mushroom patty. Which is gonna be the sum up to 660 of the series u(n) = 1 + 4n Then you find the number of burgers filled with vegetable patty. Which is the sum up to 660 of the series v(n) = 2 + 7n Then you subtract the 2 sums from 660.

OpenStudy (anonymous):

I just realized how hungry I am, thanks

OpenStudy (math&ing001):

Happens..

OpenStudy (mathmath333):

is it \(\Large\bf 402 \)

OpenStudy (mathmath333):

@math&ing001

OpenStudy (mathmath333):

@cwrw238

OpenStudy (mathmath333):

i think \(\large u(n) = 4n-3\) \(\large u(n) = 7n-5\)

OpenStudy (mathmath333):

\(\large u(n) = 4n-3\) \(\large v(n) = 7n-5\)

OpenStudy (math&ing001):

I found 402 too, it weird..

OpenStudy (mathmath333):

ok can u tell for this question

OpenStudy (mathmath333):

Q 2 how many burgers are made with all three fillings chicken , vegetable and mushroom? a 23 b 24 c 25 d 26

OpenStudy (cj49):

are u sure abt the options bc out of 16 burgers only the 9th burger is made up of all the three fillings(660/16= 41 batches approx) 41x1=41

OpenStudy (math&ing001):

The 2 series are 2+7n and 1+4m 1+4(2+7n) < 660 will give you 23.

OpenStudy (math&ing001):

@mathmath333

OpenStudy (mathmath333):

yes let me see

OpenStudy (mathmath333):

1+4(2+7n) < 660 <--can u explain this

OpenStudy (math&ing001):

I injected one into the other. Replace m with 2+7n

OpenStudy (mathmath333):

ok and thanx for guindance \(\large BRAVO\)

OpenStudy (math&ing001):

Welcome =)

OpenStudy (mathmath333):

answer for first one 165+95-24

OpenStudy (mathmath333):

as 24 are common burgers between them

OpenStudy (mathmath333):

second answer is \(\large 24\)

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