For a group of 32 students, a certain amount of food lasts for 45 days. For how many days will the same food last for 72 students
Answers
Question:For a group of 32 students a certain amount of food lasts for 45 days.for how many days will the same food last for 72 days.
Answer:
20 days
Given:
for 32 students food lasts for 45 days
To find:
How many days will the same food last for 72 students
Solution:-
Let the last day be x
32 students=45 days
72 students=x
32×45=72×x
32×45/72=x
20=x
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for 20 days will the same food last for 72 students
• For a group of 32 students, certain amount of food lasts for 45 days.
_____________ [ GIVEN ]
• We have to find the number of days for which the same food lasts for 72 students.
_____________________________
Let number of days be M.
_____________ [ ASSUME ]
For 32 students amount of food = 45 days.
And for 72 students same amount of food = (M) days.
According to question,
=> 32 × 45 = 72 × M
=> 1440 = 72M
=> 1440/72 = M
=> 20 = M
=> M = 20 days
_______________________________
For 20 days the same amount of food lasts for 72 students.
_______________ [ ANSWER ]
_______________________________
☆ VERIFICATION:
From above calculations we have M = 20
Put value of M in this: 32 × 45 = 72 × M
=> 32 × 45 = 72 × 20
=> 1440 = 1440
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