Question

17. Ashish supplies bread and jams to a hospital and a school. Bread and jam are supplied in
equal number of pieces. Bread comes in a bunch of 8 pieces and Jam comes in a pack of
6 pieces. On a particular day, Ashish has supplied x packets of bread and y packets of jam
to the school. On the same day, Ashish has supplied 3x packets of bread along with
sufficient packets of jam to hospital. It is known that the number of students in the school
are between 500 and 550.
(i) How many students are there in school?
(a) 508
(304
(C) 512
(d) 548
(ii) How many packets of bread are supplied in the school?
(a) 63 packets (b) 86 packets (c) 65 packets (d) 84 packets
(ii) How many packets of jams are supplied in the school?
(a) 63 packets (b) 86 packets (C) 65 packets (d) 84 packets
(iv) How many packets of bread are supplied in the hospital?
(a) 189 packets (b) 252 packets (c) 165 packets (d) 288 packets
please give explanation for each answer​

Answer 1

Given:

Bread comes in a bunch of 8 pieces

The Jam comes in a pack of  6 pieces

Number of packets of bread supplied to school = x

Number of packets of jam supplied to school = y

Number of packets of bread supplied to hospital = 3x

To find:

i) Number of students in school

ii) Value of x

iii) Value of y

iv) Value of 3x

Solution:

i) The number of students is a common multiple of 8 and 6.

Lowest Common multiple of 8 and 6 = 24.

Now multiple of 24 between 500 and 550 are 504 & 528.

The only option is 504.

Hence the number of students in the school is 504.

ii) Number of packets of bread are supplied in the school= total number of students / 8

= 504 / 8

= 63

iii) Number of packets of jam are supplied in the school= total number of students / 6

= 504 / 6

= 84

iv) Since given that the number of bread supplied in hospital is 3 times the number of bread in the school,

so the number of packets of bread delivered in hospital = 3 X 63 = 189 packets