A school has 6 whole 3/4 kg detergent in stock.during the use your hands campaign each class will be given 3/8 kg of detergent.there are 28 classes
a part).what fraction of the school will be supplied with detergent in stock?
b)how much detergent will be required altogether for the whole school?
c.how much detergent does the school needs to order?
d. if the school gives out the detergent in stock to 15 lower secondary classes first,
i)how much detergent will be given out?
ii)how much detergent in stock will be left
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Answers
Step-by-step explanation:
a) Let us first see that how much detergent is available in school stock
Total stock available = 6 x 3/4 = 18/4
Now each class will be given 3/8 and in total there are 28 classes;
Total requirement = 28 x 3/8 = 42/4
Now the fraction of school who will get detergent is 18/42
b) Total requirement = 42/4
C) School needs to order = 42/4 - 18/4 = 24/4 = 6
D)
Part (i)
Detergent given out to 15 classes = 15 x 3/8 = 45/8
ii) There will be no detergent left in stock
a) The stock of detergent in the school is 4.5 kg
b) 10.5 kg detergent is required for the school.
c) 6 kg detergent is need to be ordered by the school.
d) i. 5.6 kg detergent will be given out.
d) ii. No detergent stock will be left.
Step-by-step explanation:
a) The total detergent stock in the class is:
6 × 3/4 = 18/4 = 4.5 kg
b) The detergent given for each class = 3/8
Total number of classes = 28
Now, the total detergent required for the school is:
28 × 3/8 = 10.5 kg
c) The school need to order:
Available detergent = 4.5 kg
Required detergent = 10.5 kg
Detergent need to be ordered = Required detergent - Available detergent
Detergent need to be ordered = 10.5 - 4.5
∴ Detergent need to be ordered = 6 kg
d) i. The amount of detergent given for 15 classes:
15 × 3/8 = 45/8 = 5.6 kg
d) ii. There will be no stock left.