Math, asked by shaikjeelan961849038, 23 days ago

45) Tom feed his chickens with grains on Sunday. The chickens ate a quarter of what was given to them that day. On Monday, the chickens ate a quarter of what's left on Sunday night. What fraction of the original food was left on Monday night after the chickens went to bed? a) 8/16 b) 5/16 c)9/16 d) 7/16

with clear explanation pls​

Answers

Answered by abmatt1020
1

Answer:

Answer:

the original food was left on Monday night after the

chickens went to bed is 9/16

Step-by-step explanation:

Given : Chickens ate on sunday = quarter of grain = 1/4

                                   0n monday = quarter of grain left on sunday

          fraction of original food left on monday = ?

Solution : Let Original food qty = 1

   then, Chickens ate on sunday = original food qty x fraction

                                                      = 1 x 1/4

                                                      = 1/4

Food left on left on sunday night = original food - chicken ate qty

                                                      = 1 - 1/4

                                                      = 3/4

On monday chicken ate = food left on sunday night x fraction ate

                                       = 3/4 x 1/4

                                       = 3/16

Total food eaten by chickens = chickens ate on sunday + monday

                                                = 1/4 + 3/16

                                                LCM 0f 4 & 16 = 16

                                               = (1x4 + 3x1)/16

                                               = (4+3)/16

                                              = 7/16  

Food left on monday night = original food qty - total food eaten by chickens

                                           = 1 - 7/16

                                           = (16-7)/16

                                            = 9/16

Step-by-step explanation:

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