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40 identical machines in a factory pack 180 crates of oranges per day between them

a. write the ratio of the number of machines to the number of crates packed per day in the form 1:n

b. how many crates of oranges would 90 of these machines pack per day?



Answer :

anbu40

Answer:

a) 1 : 4.5

b) 405 crates

Step-by-step explanation:

Ratio and proportion:

a) Ratio of number of machines to number of crates = 40 : 180

                  [tex]\sf =\dfrac{40}{180}=\dfrac{4}{18}\\\\\\=\dfrac{4 \div 4}{18 \div 4}\\\\=\dfrac{1}{4.5}[/tex]

                  = 1 : 4.5

b) 1 Machines pack 4.5 crates of oranges. So, to find the number of crates packed by 90 machines, multiply 4.5 and 90.

  Number of crates packed by 90 machines = 90 * 4.5

                                                                         = 405 crates

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