Daniel is buying hot dogs for an idva event day. hot dogs are sold in packages of 10. hot dog buns are sold in packages of 8. what is the smallest number of hot dogs and buns daniel can buy to have an equal number of each?

He needs to buy: 5 packages of hot dogs buns and 4 packages of hot dogs. He needs to buy forty of each.

Step-by-step explanation:

Need to calculate the least common denominator of the packages of hot dogs buns and the packages of hot dogs.

  10   8    2

    5    4   2

     5    2   2

     5    1     5

      5

LCD = 2x2x2x5 = 40

To know the number of packages divide the LCD by the initial quantities

# packages of hot dogs buns = 40/8 = 5

# packages of hot dogs = 40/10 = 4

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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step-by-step explanation: